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Finding the Fourth Proportional to 805.45, 1,209.54 and 494.91

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Solution

The fourth proportional to 805.45, 1,209.54 and 494.91 is: 743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.45 : 1,209.54 = 494.91 : x
  2. Step 2: Convert to fraction form
    805.45/1,209.54 = 494.91/x
  3. Step 3: Cross multiply
    805.45x = 1,209.54 × 494.91
  4. Step 4: Simplify right side
    805.45x = 598,617.70
  5. Step 5: Solve for x
    x = 598,617.70/805.45
  6. Step 6: Final answer
    x = 743.21

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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.