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Finding the Fourth Proportional to 761.44, 1,142.33 and 542.47

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Solution

The fourth proportional to 761.44, 1,142.33 and 542.47 is: 813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.44 : 1,142.33 = 542.47 : x
  2. Step 2: Convert to fraction form
    761.44/1,142.33 = 542.47/x
  3. Step 3: Cross multiply
    761.44x = 1,142.33 × 542.47
  4. Step 4: Simplify right side
    761.44x = 619,679.76
  5. Step 5: Solve for x
    x = 619,679.76/761.44
  6. Step 6: Final answer
    x = 813.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.