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Finding the Fourth Proportional to 1,069.11, 1,475.01 and 696.57

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Solution

The fourth proportional to 1,069.11, 1,475.01 and 696.57 is: 961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.11 : 1,475.01 = 696.57 : x
  2. Step 2: Convert to fraction form
    1,069.11/1,475.01 = 696.57/x
  3. Step 3: Cross multiply
    1,069.11x = 1,475.01 × 696.57
  4. Step 4: Simplify right side
    1,069.11x = 1,027,447.72
  5. Step 5: Solve for x
    x = 1,027,447.72/1,069.11
  6. Step 6: Final answer
    x = 961.03

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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.