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Finding the Fourth Proportional to 747.90, 1,032.20 and 433.18

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Solution

The fourth proportional to 747.90, 1,032.20 and 433.18 is: 597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.90 : 1,032.20 = 433.18 : x
  2. Step 2: Convert to fraction form
    747.90/1,032.20 = 433.18/x
  3. Step 3: Cross multiply
    747.90x = 1,032.20 × 433.18
  4. Step 4: Simplify right side
    747.90x = 447,128.40
  5. Step 5: Solve for x
    x = 447,128.40/747.90
  6. Step 6: Final answer
    x = 597.85

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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.