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Finding the Fourth Proportional to 663.22, 915.36 and 431.02

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Solution

The fourth proportional to 663.22, 915.36 and 431.02 is: 594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.22 : 915.36 = 431.02 : x
  2. Step 2: Convert to fraction form
    663.22/915.36 = 431.02/x
  3. Step 3: Cross multiply
    663.22x = 915.36 × 431.02
  4. Step 4: Simplify right side
    663.22x = 394,538.47
  5. Step 5: Solve for x
    x = 394,538.47/663.22
  6. Step 6: Final answer
    x = 594.88

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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.