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Finding the Fourth Proportional to 974.41, 1,462.07 and 487.78

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Solution

The fourth proportional to 974.41, 1,462.07 and 487.78 is: 731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.41 : 1,462.07 = 487.78 : x
  2. Step 2: Convert to fraction form
    974.41/1,462.07 = 487.78/x
  3. Step 3: Cross multiply
    974.41x = 1,462.07 × 487.78
  4. Step 4: Simplify right side
    974.41x = 713,168.50
  5. Step 5: Solve for x
    x = 713,168.50/974.41
  6. Step 6: Final answer
    x = 731.90

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.