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Finding the Fourth Proportional to 549.09, 763.07 and 542.21

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Solution

The fourth proportional to 549.09, 763.07 and 542.21 is: 753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.09 : 763.07 = 542.21 : x
  2. Step 2: Convert to fraction form
    549.09/763.07 = 542.21/x
  3. Step 3: Cross multiply
    549.09x = 763.07 × 542.21
  4. Step 4: Simplify right side
    549.09x = 413,737.66
  5. Step 5: Solve for x
    x = 413,737.66/549.09
  6. Step 6: Final answer
    x = 753.50

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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.