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Finding the Fourth Proportional to 1,645.93, 2,469.72 and 721.49

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Solution

The fourth proportional to 1,645.93, 2,469.72 and 721.49 is: 1,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.93 : 2,469.72 = 721.49 : x
  2. Step 2: Convert to fraction form
    1,645.93/2,469.72 = 721.49/x
  3. Step 3: Cross multiply
    1,645.93x = 2,469.72 × 721.49
  4. Step 4: Simplify right side
    1,645.93x = 1,781,887.16
  5. Step 5: Solve for x
    x = 1,781,887.16/1,645.93
  6. Step 6: Final answer
    x = 1,082.60

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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.