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Finding the Fourth Proportional to 1,429.66, 2,145.87 and 736.84

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Solution

The fourth proportional to 1,429.66, 2,145.87 and 736.84 is: 1,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.66 : 2,145.87 = 736.84 : x
  2. Step 2: Convert to fraction form
    1,429.66/2,145.87 = 736.84/x
  3. Step 3: Cross multiply
    1,429.66x = 2,145.87 × 736.84
  4. Step 4: Simplify right side
    1,429.66x = 1,581,162.85
  5. Step 5: Solve for x
    x = 1,581,162.85/1,429.66
  6. Step 6: Final answer
    x = 1,105.97

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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.