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Finding the Fourth Proportional to 547.56, 745.20 and 542.70

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Solution

The fourth proportional to 547.56, 745.20 and 542.70 is: 738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.56 : 745.20 = 542.70 : x
  2. Step 2: Convert to fraction form
    547.56/745.20 = 542.70/x
  3. Step 3: Cross multiply
    547.56x = 745.20 × 542.70
  4. Step 4: Simplify right side
    547.56x = 404,420.04
  5. Step 5: Solve for x
    x = 404,420.04/547.56
  6. Step 6: Final answer
    x = 738.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.