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Finding the Fourth Proportional to 1,139.11, 1,571.62 and 696.55

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Solution

The fourth proportional to 1,139.11, 1,571.62 and 696.55 is: 961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.11 : 1,571.62 = 696.55 : x
  2. Step 2: Convert to fraction form
    1,139.11/1,571.62 = 696.55/x
  3. Step 3: Cross multiply
    1,139.11x = 1,571.62 × 696.55
  4. Step 4: Simplify right side
    1,139.11x = 1,094,700.57
  5. Step 5: Solve for x
    x = 1,094,700.57/1,139.11
  6. Step 6: Final answer
    x = 961.02

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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.