Home / 1,446.64-2,170.26-581.02

Finding the Fourth Proportional to 1,446.64, 2,170.26 and 581.02

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Solution

The fourth proportional to 1,446.64, 2,170.26 and 581.02 is: 871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.64 : 2,170.26 = 581.02 : x
  2. Step 2: Convert to fraction form
    1,446.64/2,170.26 = 581.02/x
  3. Step 3: Cross multiply
    1,446.64x = 2,170.26 × 581.02
  4. Step 4: Simplify right side
    1,446.64x = 1,260,964.47
  5. Step 5: Solve for x
    x = 1,260,964.47/1,446.64
  6. Step 6: Final answer
    x = 871.65

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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.