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Finding the Fourth Proportional to 805.91, 1,209.20 and 546.20

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Solution

The fourth proportional to 805.91, 1,209.20 and 546.20 is: 819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.91 : 1,209.20 = 546.20 : x
  2. Step 2: Convert to fraction form
    805.91/1,209.20 = 546.20/x
  3. Step 3: Cross multiply
    805.91x = 1,209.20 × 546.20
  4. Step 4: Simplify right side
    805.91x = 660,456.26
  5. Step 5: Solve for x
    x = 660,456.26/805.91
  6. Step 6: Final answer
    x = 819.52

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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.