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Finding the Fourth Proportional to 549.72, 818.46 and 542.07

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Solution

The fourth proportional to 549.72, 818.46 and 542.07 is: 807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 818.46 = 542.07 : x
  2. Step 2: Convert to fraction form
    549.72/818.46 = 542.07/x
  3. Step 3: Cross multiply
    549.72x = 818.46 × 542.07
  4. Step 4: Simplify right side
    549.72x = 443,662.61
  5. Step 5: Solve for x
    x = 443,662.61/549.72
  6. Step 6: Final answer
    x = 807.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.