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Finding the Fourth Proportional to 891.60, 1,229.68 and 559.40

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Solution

The fourth proportional to 891.60, 1,229.68 and 559.40 is: 771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.60 : 1,229.68 = 559.40 : x
  2. Step 2: Convert to fraction form
    891.60/1,229.68 = 559.40/x
  3. Step 3: Cross multiply
    891.60x = 1,229.68 × 559.40
  4. Step 4: Simplify right side
    891.60x = 687,882.99
  5. Step 5: Solve for x
    x = 687,882.99/891.60
  6. Step 6: Final answer
    x = 771.52

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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.