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Finding the Fourth Proportional to 974.15, 1,461.37 and 324.73

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Solution

The fourth proportional to 974.15, 1,461.37 and 324.73 is: 487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.15 : 1,461.37 = 324.73 : x
  2. Step 2: Convert to fraction form
    974.15/1,461.37 = 324.73/x
  3. Step 3: Cross multiply
    974.15x = 1,461.37 × 324.73
  4. Step 4: Simplify right side
    974.15x = 474,550.68
  5. Step 5: Solve for x
    x = 474,550.68/974.15
  6. Step 6: Final answer
    x = 487.14

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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.