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Finding the Fourth Proportional to 1,139.41, 1,708.17 and 793.42

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Solution

The fourth proportional to 1,139.41, 1,708.17 and 793.42 is: 1,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.41 : 1,708.17 = 793.42 : x
  2. Step 2: Convert to fraction form
    1,139.41/1,708.17 = 793.42/x
  3. Step 3: Cross multiply
    1,139.41x = 1,708.17 × 793.42
  4. Step 4: Simplify right side
    1,139.41x = 1,355,296.24
  5. Step 5: Solve for x
    x = 1,355,296.24/1,139.41
  6. Step 6: Final answer
    x = 1,189.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.