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Finding the Fourth Proportional to 1,158.62, 1,737.16 and 638.87

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Solution

The fourth proportional to 1,158.62, 1,737.16 and 638.87 is: 957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.62 : 1,737.16 = 638.87 : x
  2. Step 2: Convert to fraction form
    1,158.62/1,737.16 = 638.87/x
  3. Step 3: Cross multiply
    1,158.62x = 1,737.16 × 638.87
  4. Step 4: Simplify right side
    1,158.62x = 1,109,819.41
  5. Step 5: Solve for x
    x = 1,109,819.41/1,158.62
  6. Step 6: Final answer
    x = 957.88

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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.