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Finding the Fourth Proportional to 974.13, 1,461.41 and 324.84

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Solution

The fourth proportional to 974.13, 1,461.41 and 324.84 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.13 : 1,461.41 = 324.84 : x
  2. Step 2: Convert to fraction form
    974.13/1,461.41 = 324.84/x
  3. Step 3: Cross multiply
    974.13x = 1,461.41 × 324.84
  4. Step 4: Simplify right side
    974.13x = 474,729.50
  5. Step 5: Solve for x
    x = 474,729.50/974.13
  6. Step 6: Final answer
    x = 487.34

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.