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Finding the Fourth Proportional to 892.98, 1,338.39 and 459.90

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Solution

The fourth proportional to 892.98, 1,338.39 and 459.90 is: 689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.98 : 1,338.39 = 459.90 : x
  2. Step 2: Convert to fraction form
    892.98/1,338.39 = 459.90/x
  3. Step 3: Cross multiply
    892.98x = 1,338.39 × 459.90
  4. Step 4: Simplify right side
    892.98x = 615,525.56
  5. Step 5: Solve for x
    x = 615,525.56/892.98
  6. Step 6: Final answer
    x = 689.29

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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.