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Finding the Fourth Proportional to 974.88, 1,461.60 and 454.80

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Solution

The fourth proportional to 974.88, 1,461.60 and 454.80 is: 681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.88 : 1,461.60 = 454.80 : x
  2. Step 2: Convert to fraction form
    974.88/1,461.60 = 454.80/x
  3. Step 3: Cross multiply
    974.88x = 1,461.60 × 454.80
  4. Step 4: Simplify right side
    974.88x = 664,735.68
  5. Step 5: Solve for x
    x = 664,735.68/974.88
  6. Step 6: Final answer
    x = 681.86

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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.