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Finding the Fourth Proportional to 542.58, 747.90 and 449.16

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Solution

The fourth proportional to 542.58, 747.90 and 449.16 is: 619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.58 : 747.90 = 449.16 : x
  2. Step 2: Convert to fraction form
    542.58/747.90 = 449.16/x
  3. Step 3: Cross multiply
    542.58x = 747.90 × 449.16
  4. Step 4: Simplify right side
    542.58x = 335,926.76
  5. Step 5: Solve for x
    x = 335,926.76/542.58
  6. Step 6: Final answer
    x = 619.13

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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.