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Finding the Fourth Proportional to 974.97, 1,461.96 and 325.53

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Solution

The fourth proportional to 974.97, 1,461.96 and 325.53 is: 488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.97 : 1,461.96 = 325.53 : x
  2. Step 2: Convert to fraction form
    974.97/1,461.96 = 325.53/x
  3. Step 3: Cross multiply
    974.97x = 1,461.96 × 325.53
  4. Step 4: Simplify right side
    974.97x = 475,911.84
  5. Step 5: Solve for x
    x = 475,911.84/974.97
  6. Step 6: Final answer
    x = 488.13

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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.