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Finding the Fourth Proportional to 542.78, 749.10 and 525.77

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Solution

The fourth proportional to 542.78, 749.10 and 525.77 is: 725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.78 : 749.10 = 525.77 : x
  2. Step 2: Convert to fraction form
    542.78/749.10 = 525.77/x
  3. Step 3: Cross multiply
    542.78x = 749.10 × 525.77
  4. Step 4: Simplify right side
    542.78x = 393,854.31
  5. Step 5: Solve for x
    x = 393,854.31/542.78
  6. Step 6: Final answer
    x = 725.62

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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.