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Finding the Fourth Proportional to 679.20, 1,016.10 and 588.90

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Solution

The fourth proportional to 679.20, 1,016.10 and 588.90 is: 881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.20 : 1,016.10 = 588.90 : x
  2. Step 2: Convert to fraction form
    679.20/1,016.10 = 588.90/x
  3. Step 3: Cross multiply
    679.20x = 1,016.10 × 588.90
  4. Step 4: Simplify right side
    679.20x = 598,381.29
  5. Step 5: Solve for x
    x = 598,381.29/679.20
  6. Step 6: Final answer
    x = 881.01

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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.