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Finding the Fourth Proportional to 1,082.87, 1,630.13 and 982.29

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Solution

The fourth proportional to 1,082.87, 1,630.13 and 982.29 is: 1,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.87 : 1,630.13 = 982.29 : x
  2. Step 2: Convert to fraction form
    1,082.87/1,630.13 = 982.29/x
  3. Step 3: Cross multiply
    1,082.87x = 1,630.13 × 982.29
  4. Step 4: Simplify right side
    1,082.87x = 1,601,255.49
  5. Step 5: Solve for x
    x = 1,601,255.49/1,082.87
  6. Step 6: Final answer
    x = 1,478.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.