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Finding the Fourth Proportional to 679.76, 1,017.48 and 422

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Solution

The fourth proportional to 679.76, 1,017.48 and 422 is: 631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.76 : 1,017.48 = 422 : x
  2. Step 2: Convert to fraction form
    679.76/1,017.48 = 422/x
  3. Step 3: Cross multiply
    679.76x = 1,017.48 × 422
  4. Step 4: Simplify right side
    679.76x = 429,376.56
  5. Step 5: Solve for x
    x = 429,376.56/679.76
  6. Step 6: Final answer
    x = 631.66

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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.