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Finding the Fourth Proportional to 1,089.76, 1,631.40 and 872.68

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Solution

The fourth proportional to 1,089.76, 1,631.40 and 872.68 is: 1,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.76 : 1,631.40 = 872.68 : x
  2. Step 2: Convert to fraction form
    1,089.76/1,631.40 = 872.68/x
  3. Step 3: Cross multiply
    1,089.76x = 1,631.40 × 872.68
  4. Step 4: Simplify right side
    1,089.76x = 1,423,690.15
  5. Step 5: Solve for x
    x = 1,423,690.15/1,089.76
  6. Step 6: Final answer
    x = 1,306.43

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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.