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Finding the Fourth Proportional to 892.50, 1,339.14 and 459.42

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Solution

The fourth proportional to 892.50, 1,339.14 and 459.42 is: 689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.50 : 1,339.14 = 459.42 : x
  2. Step 2: Convert to fraction form
    892.50/1,339.14 = 459.42/x
  3. Step 3: Cross multiply
    892.50x = 1,339.14 × 459.42
  4. Step 4: Simplify right side
    892.50x = 615,227.70
  5. Step 5: Solve for x
    x = 615,227.70/892.50
  6. Step 6: Final answer
    x = 689.33

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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.