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Finding the Fourth Proportional to 663.75, 915.98 and 457.11

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Solution

The fourth proportional to 663.75, 915.98 and 457.11 is: 630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.75 : 915.98 = 457.11 : x
  2. Step 2: Convert to fraction form
    663.75/915.98 = 457.11/x
  3. Step 3: Cross multiply
    663.75x = 915.98 × 457.11
  4. Step 4: Simplify right side
    663.75x = 418,701.33
  5. Step 5: Solve for x
    x = 418,701.33/663.75
  6. Step 6: Final answer
    x = 630.81

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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.