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Finding the Fourth Proportional to 891.57, 1,338.17 and 459.03

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Solution

The fourth proportional to 891.57, 1,338.17 and 459.03 is: 688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.57 : 1,338.17 = 459.03 : x
  2. Step 2: Convert to fraction form
    891.57/1,338.17 = 459.03/x
  3. Step 3: Cross multiply
    891.57x = 1,338.17 × 459.03
  4. Step 4: Simplify right side
    891.57x = 614,257.88
  5. Step 5: Solve for x
    x = 614,257.88/891.57
  6. Step 6: Final answer
    x = 688.96

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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.