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Finding the Fourth Proportional to 542.14, 753.18 and 537.08

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Solution

The fourth proportional to 542.14, 753.18 and 537.08 is: 746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 753.18 = 537.08 : x
  2. Step 2: Convert to fraction form
    542.14/753.18 = 537.08/x
  3. Step 3: Cross multiply
    542.14x = 753.18 × 537.08
  4. Step 4: Simplify right side
    542.14x = 404,512.13
  5. Step 5: Solve for x
    x = 404,512.13/542.14
  6. Step 6: Final answer
    x = 746.14

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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.