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Finding the Fourth Proportional to 742.76, 1,024.98 and 432.26

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Solution

The fourth proportional to 742.76, 1,024.98 and 432.26 is: 596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.76 : 1,024.98 = 432.26 : x
  2. Step 2: Convert to fraction form
    742.76/1,024.98 = 432.26/x
  3. Step 3: Cross multiply
    742.76x = 1,024.98 × 432.26
  4. Step 4: Simplify right side
    742.76x = 443,057.85
  5. Step 5: Solve for x
    x = 443,057.85/742.76
  6. Step 6: Final answer
    x = 596.50

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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.