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Finding the Fourth Proportional to 864.87, 1,298.61 and 542.31

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Solution

The fourth proportional to 864.87, 1,298.61 and 542.31 is: 814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.87 : 1,298.61 = 542.31 : x
  2. Step 2: Convert to fraction form
    864.87/1,298.61 = 542.31/x
  3. Step 3: Cross multiply
    864.87x = 1,298.61 × 542.31
  4. Step 4: Simplify right side
    864.87x = 704,249.19
  5. Step 5: Solve for x
    x = 704,249.19/864.87
  6. Step 6: Final answer
    x = 814.28

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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.