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Finding the Fourth Proportional to 628.92, 938.70 and 577.62

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Solution

The fourth proportional to 628.92, 938.70 and 577.62 is: 862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.92 : 938.70 = 577.62 : x
  2. Step 2: Convert to fraction form
    628.92/938.70 = 577.62/x
  3. Step 3: Cross multiply
    628.92x = 938.70 × 577.62
  4. Step 4: Simplify right side
    628.92x = 542,211.89
  5. Step 5: Solve for x
    x = 542,211.89/628.92
  6. Step 6: Final answer
    x = 862.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.