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Finding the Fourth Proportional to 974.91, 1,462.05 and 487.83

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Solution

The fourth proportional to 974.91, 1,462.05 and 487.83 is: 731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.91 : 1,462.05 = 487.83 : x
  2. Step 2: Convert to fraction form
    974.91/1,462.05 = 487.83/x
  3. Step 3: Cross multiply
    974.91x = 1,462.05 × 487.83
  4. Step 4: Simplify right side
    974.91x = 713,231.85
  5. Step 5: Solve for x
    x = 713,231.85/974.91
  6. Step 6: Final answer
    x = 731.59

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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.