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Finding the Fourth Proportional to 679.76, 1,019.71 and 217.42

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Solution

The fourth proportional to 679.76, 1,019.71 and 217.42 is: 326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.76 : 1,019.71 = 217.42 : x
  2. Step 2: Convert to fraction form
    679.76/1,019.71 = 217.42/x
  3. Step 3: Cross multiply
    679.76x = 1,019.71 × 217.42
  4. Step 4: Simplify right side
    679.76x = 221,705.67
  5. Step 5: Solve for x
    x = 221,705.67/679.76
  6. Step 6: Final answer
    x = 326.15

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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.