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Finding the Fourth Proportional to 463.66, 638.49 and 414.52

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Solution

The fourth proportional to 463.66, 638.49 and 414.52 is: 570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.66 : 638.49 = 414.52 : x
  2. Step 2: Convert to fraction form
    463.66/638.49 = 414.52/x
  3. Step 3: Cross multiply
    463.66x = 638.49 × 414.52
  4. Step 4: Simplify right side
    463.66x = 264,666.87
  5. Step 5: Solve for x
    x = 264,666.87/463.66
  6. Step 6: Final answer
    x = 570.82

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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.