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Finding the Fourth Proportional to 507.92, 702.31 and 499.68

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Solution

The fourth proportional to 507.92, 702.31 and 499.68 is: 690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.92 : 702.31 = 499.68 : x
  2. Step 2: Convert to fraction form
    507.92/702.31 = 499.68/x
  3. Step 3: Cross multiply
    507.92x = 702.31 × 499.68
  4. Step 4: Simplify right side
    507.92x = 350,930.26
  5. Step 5: Solve for x
    x = 350,930.26/507.92
  6. Step 6: Final answer
    x = 690.92

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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.