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Finding the Fourth Proportional to 974.12, 1,461.18 and 243.69

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Solution

The fourth proportional to 974.12, 1,461.18 and 243.69 is: 365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.12 : 1,461.18 = 243.69 : x
  2. Step 2: Convert to fraction form
    974.12/1,461.18 = 243.69/x
  3. Step 3: Cross multiply
    974.12x = 1,461.18 × 243.69
  4. Step 4: Simplify right side
    974.12x = 356,077.92
  5. Step 5: Solve for x
    x = 356,077.92/974.12
  6. Step 6: Final answer
    x = 365.54

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Double scale
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1.5x scale

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.