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Finding the Fourth Proportional to 679.22, 1,017.82 and 332.15

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Solution

The fourth proportional to 679.22, 1,017.82 and 332.15 is: 497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.22 : 1,017.82 = 332.15 : x
  2. Step 2: Convert to fraction form
    679.22/1,017.82 = 332.15/x
  3. Step 3: Cross multiply
    679.22x = 1,017.82 × 332.15
  4. Step 4: Simplify right side
    679.22x = 338,070.63
  5. Step 5: Solve for x
    x = 338,070.63/679.22
  6. Step 6: Final answer
    x = 497.74

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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.