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Finding the Fourth Proportional to 1,022.38, 1,409.60 and 835.68

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Solution

The fourth proportional to 1,022.38, 1,409.60 and 835.68 is: 1,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.38 : 1,409.60 = 835.68 : x
  2. Step 2: Convert to fraction form
    1,022.38/1,409.60 = 835.68/x
  3. Step 3: Cross multiply
    1,022.38x = 1,409.60 × 835.68
  4. Step 4: Simplify right side
    1,022.38x = 1,177,974.53
  5. Step 5: Solve for x
    x = 1,177,974.53/1,022.38
  6. Step 6: Final answer
    x = 1,152.19

Related Problems

Find fourth proportional to 511.19, 704.80 and 417.84
Half scale
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Double scale
Find fourth proportional to 1,023.38, 1,410.98 and 836.68
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.