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Finding the Fourth Proportional to 1,306.96, 1,950.31 and 1,168.50

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Solution

The fourth proportional to 1,306.96, 1,950.31 and 1,168.50 is: 1,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.96 : 1,950.31 = 1,168.50 : x
  2. Step 2: Convert to fraction form
    1,306.96/1,950.31 = 1,168.50/x
  3. Step 3: Cross multiply
    1,306.96x = 1,950.31 × 1,168.50
  4. Step 4: Simplify right side
    1,306.96x = 2,278,937.24
  5. Step 5: Solve for x
    x = 2,278,937.24/1,306.96
  6. Step 6: Final answer
    x = 1,743.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.