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Finding the Fourth Proportional to 663.57, 915.86 and 415.05

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Solution

The fourth proportional to 663.57, 915.86 and 415.05 is: 572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.57 : 915.86 = 415.05 : x
  2. Step 2: Convert to fraction form
    663.57/915.86 = 415.05/x
  3. Step 3: Cross multiply
    663.57x = 915.86 × 415.05
  4. Step 4: Simplify right side
    663.57x = 380,125.62
  5. Step 5: Solve for x
    x = 380,125.62/663.57
  6. Step 6: Final answer
    x = 572.85

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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.