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Finding the Fourth Proportional to 663.88, 915.10 and 523.77

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Solution

The fourth proportional to 663.88, 915.10 and 523.77 is: 721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.88 : 915.10 = 523.77 : x
  2. Step 2: Convert to fraction form
    663.88/915.10 = 523.77/x
  3. Step 3: Cross multiply
    663.88x = 915.10 × 523.77
  4. Step 4: Simplify right side
    663.88x = 479,297.19
  5. Step 5: Solve for x
    x = 479,297.19/663.88
  6. Step 6: Final answer
    x = 721.96

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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.