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Finding the Fourth Proportional to 542.84, 747.77 and 463.91

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Solution

The fourth proportional to 542.84, 747.77 and 463.91 is: 639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.84 : 747.77 = 463.91 : x
  2. Step 2: Convert to fraction form
    542.84/747.77 = 463.91/x
  3. Step 3: Cross multiply
    542.84x = 747.77 × 463.91
  4. Step 4: Simplify right side
    542.84x = 346,891.92
  5. Step 5: Solve for x
    x = 346,891.92/542.84
  6. Step 6: Final answer
    x = 639.04

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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.