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Finding the Fourth Proportional to 1,082.76, 1,493.80 and 616.76

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Solution

The fourth proportional to 1,082.76, 1,493.80 and 616.76 is: 850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.76 : 1,493.80 = 616.76 : x
  2. Step 2: Convert to fraction form
    1,082.76/1,493.80 = 616.76/x
  3. Step 3: Cross multiply
    1,082.76x = 1,493.80 × 616.76
  4. Step 4: Simplify right side
    1,082.76x = 921,316.09
  5. Step 5: Solve for x
    x = 921,316.09/1,082.76
  6. Step 6: Final answer
    x = 850.90

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.