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Finding the Fourth Proportional to 835.83, 1,152.99 and 678.63

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Solution

The fourth proportional to 835.83, 1,152.99 and 678.63 is: 936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.83 : 1,152.99 = 678.63 : x
  2. Step 2: Convert to fraction form
    835.83/1,152.99 = 678.63/x
  3. Step 3: Cross multiply
    835.83x = 1,152.99 × 678.63
  4. Step 4: Simplify right side
    835.83x = 782,453.60
  5. Step 5: Solve for x
    x = 782,453.60/835.83
  6. Step 6: Final answer
    x = 936.14

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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.