Home / 1,446.52-2,170.14-420.52

Finding the Fourth Proportional to 1,446.52, 2,170.14 and 420.52

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Solution

The fourth proportional to 1,446.52, 2,170.14 and 420.52 is: 630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.52 : 2,170.14 = 420.52 : x
  2. Step 2: Convert to fraction form
    1,446.52/2,170.14 = 420.52/x
  3. Step 3: Cross multiply
    1,446.52x = 2,170.14 × 420.52
  4. Step 4: Simplify right side
    1,446.52x = 912,587.27
  5. Step 5: Solve for x
    x = 912,587.27/1,446.52
  6. Step 6: Final answer
    x = 630.88

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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.