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Finding the Fourth Proportional to 549.65, 763.85 and 542.77

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Solution

The fourth proportional to 549.65, 763.85 and 542.77 is: 754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.65 : 763.85 = 542.77 : x
  2. Step 2: Convert to fraction form
    549.65/763.85 = 542.77/x
  3. Step 3: Cross multiply
    549.65x = 763.85 × 542.77
  4. Step 4: Simplify right side
    549.65x = 414,591.26
  5. Step 5: Solve for x
    x = 414,591.26/549.65
  6. Step 6: Final answer
    x = 754.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.