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Finding the Fourth Proportional to 542.39, 748.53 and 393.09

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Solution

The fourth proportional to 542.39, 748.53 and 393.09 is: 542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.39 : 748.53 = 393.09 : x
  2. Step 2: Convert to fraction form
    542.39/748.53 = 393.09/x
  3. Step 3: Cross multiply
    542.39x = 748.53 × 393.09
  4. Step 4: Simplify right side
    542.39x = 294,239.66
  5. Step 5: Solve for x
    x = 294,239.66/542.39
  6. Step 6: Final answer
    x = 542.49

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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.