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Finding the Fourth Proportional to 1,123.29, 1,684.68 and 711.85

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Solution

The fourth proportional to 1,123.29, 1,684.68 and 711.85 is: 1,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.29 : 1,684.68 = 711.85 : x
  2. Step 2: Convert to fraction form
    1,123.29/1,684.68 = 711.85/x
  3. Step 3: Cross multiply
    1,123.29x = 1,684.68 × 711.85
  4. Step 4: Simplify right side
    1,123.29x = 1,199,231.03
  5. Step 5: Solve for x
    x = 1,199,231.03/1,123.29
  6. Step 6: Final answer
    x = 1,067.61

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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.