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Finding the Fourth Proportional to 542.49, 747.09 and 467.25

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Solution

The fourth proportional to 542.49, 747.09 and 467.25 is: 643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.49 : 747.09 = 467.25 : x
  2. Step 2: Convert to fraction form
    542.49/747.09 = 467.25/x
  3. Step 3: Cross multiply
    542.49x = 747.09 × 467.25
  4. Step 4: Simplify right side
    542.49x = 349,077.80
  5. Step 5: Solve for x
    x = 349,077.80/542.49
  6. Step 6: Final answer
    x = 643.47

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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.