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Finding the Fourth Proportional to 891.49, 1,229.02 and 559.69

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Solution

The fourth proportional to 891.49, 1,229.02 and 559.69 is: 771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.49 : 1,229.02 = 559.69 : x
  2. Step 2: Convert to fraction form
    891.49/1,229.02 = 559.69/x
  3. Step 3: Cross multiply
    891.49x = 1,229.02 × 559.69
  4. Step 4: Simplify right side
    891.49x = 687,870.20
  5. Step 5: Solve for x
    x = 687,870.20/891.49
  6. Step 6: Final answer
    x = 771.60

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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.