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Finding the Fourth Proportional to 742.50, 1,024.71 and 432.06

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Solution

The fourth proportional to 742.50, 1,024.71 and 432.06 is: 596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.50 : 1,024.71 = 432.06 : x
  2. Step 2: Convert to fraction form
    742.50/1,024.71 = 432.06/x
  3. Step 3: Cross multiply
    742.50x = 1,024.71 × 432.06
  4. Step 4: Simplify right side
    742.50x = 442,736.20
  5. Step 5: Solve for x
    x = 442,736.20/742.50
  6. Step 6: Final answer
    x = 596.28

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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.