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Finding the Fourth Proportional to 1,149.77, 1,724.29 and 456.62

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Solution

The fourth proportional to 1,149.77, 1,724.29 and 456.62 is: 684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.77 : 1,724.29 = 456.62 : x
  2. Step 2: Convert to fraction form
    1,149.77/1,724.29 = 456.62/x
  3. Step 3: Cross multiply
    1,149.77x = 1,724.29 × 456.62
  4. Step 4: Simplify right side
    1,149.77x = 787,345.30
  5. Step 5: Solve for x
    x = 787,345.30/1,149.77
  6. Step 6: Final answer
    x = 684.79

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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.