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Finding the Fourth Proportional to 805.26, 1,206.10 and 496.18

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Solution

The fourth proportional to 805.26, 1,206.10 and 496.18 is: 743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.26 : 1,206.10 = 496.18 : x
  2. Step 2: Convert to fraction form
    805.26/1,206.10 = 496.18/x
  3. Step 3: Cross multiply
    805.26x = 1,206.10 × 496.18
  4. Step 4: Simplify right side
    805.26x = 598,442.70
  5. Step 5: Solve for x
    x = 598,442.70/805.26
  6. Step 6: Final answer
    x = 743.17

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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.