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Finding the Fourth Proportional to 542.04, 747.68 and 410.82

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Solution

The fourth proportional to 542.04, 747.68 and 410.82 is: 566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.04 : 747.68 = 410.82 : x
  2. Step 2: Convert to fraction form
    542.04/747.68 = 410.82/x
  3. Step 3: Cross multiply
    542.04x = 747.68 × 410.82
  4. Step 4: Simplify right side
    542.04x = 307,161.90
  5. Step 5: Solve for x
    x = 307,161.90/542.04
  6. Step 6: Final answer
    x = 566.68

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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.