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Finding the Fourth Proportional to 663.76, 915.82 and 415.20

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Solution

The fourth proportional to 663.76, 915.82 and 415.20 is: 572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.76 : 915.82 = 415.20 : x
  2. Step 2: Convert to fraction form
    663.76/915.82 = 415.20/x
  3. Step 3: Cross multiply
    663.76x = 915.82 × 415.20
  4. Step 4: Simplify right side
    663.76x = 380,248.46
  5. Step 5: Solve for x
    x = 380,248.46/663.76
  6. Step 6: Final answer
    x = 572.87

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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.