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Finding the Fourth Proportional to 873.81, 1,206.39 and 542.43

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Solution

The fourth proportional to 873.81, 1,206.39 and 542.43 is: 748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.81 : 1,206.39 = 542.43 : x
  2. Step 2: Convert to fraction form
    873.81/1,206.39 = 542.43/x
  3. Step 3: Cross multiply
    873.81x = 1,206.39 × 542.43
  4. Step 4: Simplify right side
    873.81x = 654,382.13
  5. Step 5: Solve for x
    x = 654,382.13/873.81
  6. Step 6: Final answer
    x = 748.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.