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Finding the Fourth Proportional to 679.89, 1,016.28 and 588.39

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Solution

The fourth proportional to 679.89, 1,016.28 and 588.39 is: 879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.89 : 1,016.28 = 588.39 : x
  2. Step 2: Convert to fraction form
    679.89/1,016.28 = 588.39/x
  3. Step 3: Cross multiply
    679.89x = 1,016.28 × 588.39
  4. Step 4: Simplify right side
    679.89x = 597,968.99
  5. Step 5: Solve for x
    x = 597,968.99/679.89
  6. Step 6: Final answer
    x = 879.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.