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Finding the Fourth Proportional to 1,150.36, 1,724.31 and 456.73

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Solution

The fourth proportional to 1,150.36, 1,724.31 and 456.73 is: 684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.36 : 1,724.31 = 456.73 : x
  2. Step 2: Convert to fraction form
    1,150.36/1,724.31 = 456.73/x
  3. Step 3: Cross multiply
    1,150.36x = 1,724.31 × 456.73
  4. Step 4: Simplify right side
    1,150.36x = 787,539.80
  5. Step 5: Solve for x
    x = 787,539.80/1,150.36
  6. Step 6: Final answer
    x = 684.60

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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.