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Finding the Fourth Proportional to 542.60, 761.80 and 542.60

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Solution

The fourth proportional to 542.60, 761.80 and 542.60 is: 761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.60 : 761.80 = 542.60 : x
  2. Step 2: Convert to fraction form
    542.60/761.80 = 542.60/x
  3. Step 3: Cross multiply
    542.60x = 761.80 × 542.60
  4. Step 4: Simplify right side
    542.60x = 413,352.68
  5. Step 5: Solve for x
    x = 413,352.68/542.60
  6. Step 6: Final answer
    x = 761.80

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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.