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Finding the Fourth Proportional to 542.08, 747.52 and 459.36

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Solution

The fourth proportional to 542.08, 747.52 and 459.36 is: 633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.08 : 747.52 = 459.36 : x
  2. Step 2: Convert to fraction form
    542.08/747.52 = 459.36/x
  3. Step 3: Cross multiply
    542.08x = 747.52 × 459.36
  4. Step 4: Simplify right side
    542.08x = 343,380.79
  5. Step 5: Solve for x
    x = 343,380.79/542.08
  6. Step 6: Final answer
    x = 633.45

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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.