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Finding the Fourth Proportional to 976.63, 1,463.82 and 542.92

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Solution

The fourth proportional to 976.63, 1,463.82 and 542.92 is: 813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.63 : 1,463.82 = 542.92 : x
  2. Step 2: Convert to fraction form
    976.63/1,463.82 = 542.92/x
  3. Step 3: Cross multiply
    976.63x = 1,463.82 × 542.92
  4. Step 4: Simplify right side
    976.63x = 794,737.15
  5. Step 5: Solve for x
    x = 794,737.15/976.63
  6. Step 6: Final answer
    x = 813.75

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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.