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Finding the Fourth Proportional to 805.82, 1,207.62 and 497.03

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Solution

The fourth proportional to 805.82, 1,207.62 and 497.03 is: 744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.82 : 1,207.62 = 497.03 : x
  2. Step 2: Convert to fraction form
    805.82/1,207.62 = 497.03/x
  3. Step 3: Cross multiply
    805.82x = 1,207.62 × 497.03
  4. Step 4: Simplify right side
    805.82x = 600,217.33
  5. Step 5: Solve for x
    x = 600,217.33/805.82
  6. Step 6: Final answer
    x = 744.86

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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.