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Finding the Fourth Proportional to 542.70, 758.87 and 542.70

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Solution

The fourth proportional to 542.70, 758.87 and 542.70 is: 758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.70 : 758.87 = 542.70 : x
  2. Step 2: Convert to fraction form
    542.70/758.87 = 542.70/x
  3. Step 3: Cross multiply
    542.70x = 758.87 × 542.70
  4. Step 4: Simplify right side
    542.70x = 411,838.07
  5. Step 5: Solve for x
    x = 411,838.07/542.70
  6. Step 6: Final answer
    x = 758.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.