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Finding the Fourth Proportional to 663.62, 915.38 and 427.88

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Solution

The fourth proportional to 663.62, 915.38 and 427.88 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.62 : 915.38 = 427.88 : x
  2. Step 2: Convert to fraction form
    663.62/915.38 = 427.88/x
  3. Step 3: Cross multiply
    663.62x = 915.38 × 427.88
  4. Step 4: Simplify right side
    663.62x = 391,669.29
  5. Step 5: Solve for x
    x = 391,669.29/663.62
  6. Step 6: Final answer
    x = 590.21

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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.