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Finding the Fourth Proportional to 974.75, 1,461.08 and 454.14

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Solution

The fourth proportional to 974.75, 1,461.08 and 454.14 is: 680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.75 : 1,461.08 = 454.14 : x
  2. Step 2: Convert to fraction form
    974.75/1,461.08 = 454.14/x
  3. Step 3: Cross multiply
    974.75x = 1,461.08 × 454.14
  4. Step 4: Simplify right side
    974.75x = 663,532.60
  5. Step 5: Solve for x
    x = 663,532.60/974.75
  6. Step 6: Final answer
    x = 680.72

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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.