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Finding the Fourth Proportional to 1,443.12, 2,164.68 and 712.71

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Solution

The fourth proportional to 1,443.12, 2,164.68 and 712.71 is: 1,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.12 : 2,164.68 = 712.71 : x
  2. Step 2: Convert to fraction form
    1,443.12/2,164.68 = 712.71/x
  3. Step 3: Cross multiply
    1,443.12x = 2,164.68 × 712.71
  4. Step 4: Simplify right side
    1,443.12x = 1,542,789.08
  5. Step 5: Solve for x
    x = 1,542,789.08/1,443.12
  6. Step 6: Final answer
    x = 1,069.07

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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.