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Finding the Fourth Proportional to 891.34, 1,337.42 and 458.80

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Solution

The fourth proportional to 891.34, 1,337.42 and 458.80 is: 688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.34 : 1,337.42 = 458.80 : x
  2. Step 2: Convert to fraction form
    891.34/1,337.42 = 458.80/x
  3. Step 3: Cross multiply
    891.34x = 1,337.42 × 458.80
  4. Step 4: Simplify right side
    891.34x = 613,608.30
  5. Step 5: Solve for x
    x = 613,608.30/891.34
  6. Step 6: Final answer
    x = 688.41

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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.