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Finding the Fourth Proportional to 1,082.69, 1,494.07 and 610.68

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Solution

The fourth proportional to 1,082.69, 1,494.07 and 610.68 is: 842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.69 : 1,494.07 = 610.68 : x
  2. Step 2: Convert to fraction form
    1,082.69/1,494.07 = 610.68/x
  3. Step 3: Cross multiply
    1,082.69x = 1,494.07 × 610.68
  4. Step 4: Simplify right side
    1,082.69x = 912,400.88
  5. Step 5: Solve for x
    x = 912,400.88/1,082.69
  6. Step 6: Final answer
    x = 842.72

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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.