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Finding the Fourth Proportional to 974.47, 1,461.71 and 325.21

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Solution

The fourth proportional to 974.47, 1,461.71 and 325.21 is: 487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.47 : 1,461.71 = 325.21 : x
  2. Step 2: Convert to fraction form
    974.47/1,461.71 = 325.21/x
  3. Step 3: Cross multiply
    974.47x = 1,461.71 × 325.21
  4. Step 4: Simplify right side
    974.47x = 475,355.40
  5. Step 5: Solve for x
    x = 475,355.40/974.47
  6. Step 6: Final answer
    x = 487.81

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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.