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Finding the Fourth Proportional to 542.88, 754.32 and 535.92

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Solution

The fourth proportional to 542.88, 754.32 and 535.92 is: 744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.88 : 754.32 = 535.92 : x
  2. Step 2: Convert to fraction form
    542.88/754.32 = 535.92/x
  3. Step 3: Cross multiply
    542.88x = 754.32 × 535.92
  4. Step 4: Simplify right side
    542.88x = 404,255.17
  5. Step 5: Solve for x
    x = 404,255.17/542.88
  6. Step 6: Final answer
    x = 744.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.