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Finding the Fourth Proportional to 1,191.80, 1,645.13 and 694.59

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Solution

The fourth proportional to 1,191.80, 1,645.13 and 694.59 is: 958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.80 : 1,645.13 = 694.59 : x
  2. Step 2: Convert to fraction form
    1,191.80/1,645.13 = 694.59/x
  3. Step 3: Cross multiply
    1,191.80x = 1,645.13 × 694.59
  4. Step 4: Simplify right side
    1,191.80x = 1,142,691.76
  5. Step 5: Solve for x
    x = 1,142,691.76/1,191.80
  6. Step 6: Final answer
    x = 958.80

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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.