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Finding the Fourth Proportional to 873.87, 1,205.87 and 542.39

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Solution

The fourth proportional to 873.87, 1,205.87 and 542.39 is: 748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.87 : 1,205.87 = 542.39 : x
  2. Step 2: Convert to fraction form
    873.87/1,205.87 = 542.39/x
  3. Step 3: Cross multiply
    873.87x = 1,205.87 × 542.39
  4. Step 4: Simplify right side
    873.87x = 654,043.09
  5. Step 5: Solve for x
    x = 654,043.09/873.87
  6. Step 6: Final answer
    x = 748.44

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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.