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Finding the Fourth Proportional to 747.31, 1,120.92 and 357.59

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Solution

The fourth proportional to 747.31, 1,120.92 and 357.59 is: 536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.31 : 1,120.92 = 357.59 : x
  2. Step 2: Convert to fraction form
    747.31/1,120.92 = 357.59/x
  3. Step 3: Cross multiply
    747.31x = 1,120.92 × 357.59
  4. Step 4: Simplify right side
    747.31x = 400,829.78
  5. Step 5: Solve for x
    x = 400,829.78/747.31
  6. Step 6: Final answer
    x = 536.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.