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Finding the Fourth Proportional to 974.15, 1,461.24 and 243.73

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Solution

The fourth proportional to 974.15, 1,461.24 and 243.73 is: 365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.15 : 1,461.24 = 243.73 : x
  2. Step 2: Convert to fraction form
    974.15/1,461.24 = 243.73/x
  3. Step 3: Cross multiply
    974.15x = 1,461.24 × 243.73
  4. Step 4: Simplify right side
    974.15x = 356,149.85
  5. Step 5: Solve for x
    x = 356,149.85/974.15
  6. Step 6: Final answer
    x = 365.60

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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.