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Finding the Fourth Proportional to 508.72, 702.50 and 481.44

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Solution

The fourth proportional to 508.72, 702.50 and 481.44 is: 664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.72 : 702.50 = 481.44 : x
  2. Step 2: Convert to fraction form
    508.72/702.50 = 481.44/x
  3. Step 3: Cross multiply
    508.72x = 702.50 × 481.44
  4. Step 4: Simplify right side
    508.72x = 338,211.60
  5. Step 5: Solve for x
    x = 338,211.60/508.72
  6. Step 6: Final answer
    x = 664.83

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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.