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Finding the Fourth Proportional to 1,424.46, 1,966.20 and 835.19

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Solution

The fourth proportional to 1,424.46, 1,966.20 and 835.19 is: 1,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.46 : 1,966.20 = 835.19 : x
  2. Step 2: Convert to fraction form
    1,424.46/1,966.20 = 835.19/x
  3. Step 3: Cross multiply
    1,424.46x = 1,966.20 × 835.19
  4. Step 4: Simplify right side
    1,424.46x = 1,642,150.58
  5. Step 5: Solve for x
    x = 1,642,150.58/1,424.46
  6. Step 6: Final answer
    x = 1,152.82

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Double scale
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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.