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Finding the Fourth Proportional to 1,161.38, 1,742.66 and 771.65

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Solution

The fourth proportional to 1,161.38, 1,742.66 and 771.65 is: 1,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.38 : 1,742.66 = 771.65 : x
  2. Step 2: Convert to fraction form
    1,161.38/1,742.66 = 771.65/x
  3. Step 3: Cross multiply
    1,161.38x = 1,742.66 × 771.65
  4. Step 4: Simplify right side
    1,161.38x = 1,344,715.84
  5. Step 5: Solve for x
    x = 1,344,715.84/1,161.38
  6. Step 6: Final answer
    x = 1,157.87

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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.