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Finding the Fourth Proportional to 663.75, 913.08 and 637.11

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Solution

The fourth proportional to 663.75, 913.08 and 637.11 is: 876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.75 : 913.08 = 637.11 : x
  2. Step 2: Convert to fraction form
    663.75/913.08 = 637.11/x
  3. Step 3: Cross multiply
    663.75x = 913.08 × 637.11
  4. Step 4: Simplify right side
    663.75x = 581,732.40
  5. Step 5: Solve for x
    x = 581,732.40/663.75
  6. Step 6: Final answer
    x = 876.43

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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.