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Finding the Fourth Proportional to 542.09, 747.30 and 386.57

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Solution

The fourth proportional to 542.09, 747.30 and 386.57 is: 532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.09 : 747.30 = 386.57 : x
  2. Step 2: Convert to fraction form
    542.09/747.30 = 386.57/x
  3. Step 3: Cross multiply
    542.09x = 747.30 × 386.57
  4. Step 4: Simplify right side
    542.09x = 288,878.09
  5. Step 5: Solve for x
    x = 288,878.09/542.09
  6. Step 6: Final answer
    x = 532.90

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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.