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Finding the Fourth Proportional to 463.29, 643.84 and 457.49

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Solution

The fourth proportional to 463.29, 643.84 and 457.49 is: 635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.29 : 643.84 = 457.49 : x
  2. Step 2: Convert to fraction form
    463.29/643.84 = 457.49/x
  3. Step 3: Cross multiply
    463.29x = 643.84 × 457.49
  4. Step 4: Simplify right side
    463.29x = 294,545.66
  5. Step 5: Solve for x
    x = 294,545.66/463.29
  6. Step 6: Final answer
    x = 635.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.