Home / 1,446.30-2,169.14-472.20

Finding the Fourth Proportional to 1,446.30, 2,169.14 and 472.20

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Solution

The fourth proportional to 1,446.30, 2,169.14 and 472.20 is: 708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.30 : 2,169.14 = 472.20 : x
  2. Step 2: Convert to fraction form
    1,446.30/2,169.14 = 472.20/x
  3. Step 3: Cross multiply
    1,446.30x = 2,169.14 × 472.20
  4. Step 4: Simplify right side
    1,446.30x = 1,024,265.55
  5. Step 5: Solve for x
    x = 1,024,265.55/1,446.30
  6. Step 6: Final answer
    x = 708.20

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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.