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Finding the Fourth Proportional to 463.47, 638.69 and 345.58

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Solution

The fourth proportional to 463.47, 638.69 and 345.58 is: 476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.47 : 638.69 = 345.58 : x
  2. Step 2: Convert to fraction form
    463.47/638.69 = 345.58/x
  3. Step 3: Cross multiply
    463.47x = 638.69 × 345.58
  4. Step 4: Simplify right side
    463.47x = 220,715.17
  5. Step 5: Solve for x
    x = 220,715.17/463.47
  6. Step 6: Final answer
    x = 476.23

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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.