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Finding the Fourth Proportional to 610.71, 916.07 and 428.92

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Solution

The fourth proportional to 610.71, 916.07 and 428.92 is: 643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.71 : 916.07 = 428.92 : x
  2. Step 2: Convert to fraction form
    610.71/916.07 = 428.92/x
  3. Step 3: Cross multiply
    610.71x = 916.07 × 428.92
  4. Step 4: Simplify right side
    610.71x = 392,921.90
  5. Step 5: Solve for x
    x = 392,921.90/610.71
  6. Step 6: Final answer
    x = 643.38

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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.