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Finding the Fourth Proportional to 1,446.33, 2,169.11 and 715.71

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Solution

The fourth proportional to 1,446.33, 2,169.11 and 715.71 is: 1,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.33 : 2,169.11 = 715.71 : x
  2. Step 2: Convert to fraction form
    1,446.33/2,169.11 = 715.71/x
  3. Step 3: Cross multiply
    1,446.33x = 2,169.11 × 715.71
  4. Step 4: Simplify right side
    1,446.33x = 1,552,453.72
  5. Step 5: Solve for x
    x = 1,552,453.72/1,446.33
  6. Step 6: Final answer
    x = 1,073.37

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1.5x scale

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.