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Finding the Fourth Proportional to 742.79, 1,024.92 and 477.29

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Solution

The fourth proportional to 742.79, 1,024.92 and 477.29 is: 658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.79 : 1,024.92 = 477.29 : x
  2. Step 2: Convert to fraction form
    742.79/1,024.92 = 477.29/x
  3. Step 3: Cross multiply
    742.79x = 1,024.92 × 477.29
  4. Step 4: Simplify right side
    742.79x = 489,178.94
  5. Step 5: Solve for x
    x = 489,178.94/742.79
  6. Step 6: Final answer
    x = 658.57

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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.