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Finding the Fourth Proportional to 463.97, 638.65 and 420.23

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Solution

The fourth proportional to 463.97, 638.65 and 420.23 is: 578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.97 : 638.65 = 420.23 : x
  2. Step 2: Convert to fraction form
    463.97/638.65 = 420.23/x
  3. Step 3: Cross multiply
    463.97x = 638.65 × 420.23
  4. Step 4: Simplify right side
    463.97x = 268,379.89
  5. Step 5: Solve for x
    x = 268,379.89/463.97
  6. Step 6: Final answer
    x = 578.44

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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.