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Finding the Fourth Proportional to 974.76, 1,462.14 and 326.22

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Solution

The fourth proportional to 974.76, 1,462.14 and 326.22 is: 489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.76 : 1,462.14 = 326.22 : x
  2. Step 2: Convert to fraction form
    974.76/1,462.14 = 326.22/x
  3. Step 3: Cross multiply
    974.76x = 1,462.14 × 326.22
  4. Step 4: Simplify right side
    974.76x = 476,979.31
  5. Step 5: Solve for x
    x = 476,979.31/974.76
  6. Step 6: Final answer
    x = 489.33

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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.