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Finding the Fourth Proportional to 974.10, 1,461.15 and 852.60

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Solution

The fourth proportional to 974.10, 1,461.15 and 852.60 is: 1,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.10 : 1,461.15 = 852.60 : x
  2. Step 2: Convert to fraction form
    974.10/1,461.15 = 852.60/x
  3. Step 3: Cross multiply
    974.10x = 1,461.15 × 852.60
  4. Step 4: Simplify right side
    974.10x = 1,245,776.49
  5. Step 5: Solve for x
    x = 1,245,776.49/974.10
  6. Step 6: Final answer
    x = 1,278.90

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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.