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Finding the Fourth Proportional to 679.21, 1,016.38 and 588.22

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Solution

The fourth proportional to 679.21, 1,016.38 and 588.22 is: 880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.21 : 1,016.38 = 588.22 : x
  2. Step 2: Convert to fraction form
    679.21/1,016.38 = 588.22/x
  3. Step 3: Cross multiply
    679.21x = 1,016.38 × 588.22
  4. Step 4: Simplify right side
    679.21x = 597,853.24
  5. Step 5: Solve for x
    x = 597,853.24/679.21
  6. Step 6: Final answer
    x = 880.22

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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.