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Finding the Fourth Proportional to 1,149.62, 1,587.54 and 1,088.24

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Solution

The fourth proportional to 1,149.62, 1,587.54 and 1,088.24 is: 1,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.62 : 1,587.54 = 1,088.24 : x
  2. Step 2: Convert to fraction form
    1,149.62/1,587.54 = 1,088.24/x
  3. Step 3: Cross multiply
    1,149.62x = 1,587.54 × 1,088.24
  4. Step 4: Simplify right side
    1,149.62x = 1,727,624.53
  5. Step 5: Solve for x
    x = 1,727,624.53/1,149.62
  6. Step 6: Final answer
    x = 1,502.78

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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.