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Finding the Fourth Proportional to 974.27, 1,461.42 and 325

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Solution

The fourth proportional to 974.27, 1,461.42 and 325 is: 487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.27 : 1,461.42 = 325 : x
  2. Step 2: Convert to fraction form
    974.27/1,461.42 = 325/x
  3. Step 3: Cross multiply
    974.27x = 1,461.42 × 325
  4. Step 4: Simplify right side
    974.27x = 474,961.50
  5. Step 5: Solve for x
    x = 474,961.50/974.27
  6. Step 6: Final answer
    x = 487.51

Related Problems

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Half scale
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Double scale
Find fourth proportional to 975.27, 1,462.92 and 326
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.