Home / 1,472.20-2,207.90-431.96

Finding the Fourth Proportional to 1,472.20, 2,207.90 and 431.96

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Solution

The fourth proportional to 1,472.20, 2,207.90 and 431.96 is: 647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.20 : 2,207.90 = 431.96 : x
  2. Step 2: Convert to fraction form
    1,472.20/2,207.90 = 431.96/x
  3. Step 3: Cross multiply
    1,472.20x = 2,207.90 × 431.96
  4. Step 4: Simplify right side
    1,472.20x = 953,724.48
  5. Step 5: Solve for x
    x = 953,724.48/1,472.20
  6. Step 6: Final answer
    x = 647.82

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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.