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Finding the Fourth Proportional to 806.22, 1,209.51 and 498.42

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Solution

The fourth proportional to 806.22, 1,209.51 and 498.42 is: 747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.22 : 1,209.51 = 498.42 : x
  2. Step 2: Convert to fraction form
    806.22/1,209.51 = 498.42/x
  3. Step 3: Cross multiply
    806.22x = 1,209.51 × 498.42
  4. Step 4: Simplify right side
    806.22x = 602,843.97
  5. Step 5: Solve for x
    x = 602,843.97/806.22
  6. Step 6: Final answer
    x = 747.74

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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.