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Finding the Fourth Proportional to 679.50, 1,015.73 and 588.02

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Solution

The fourth proportional to 679.50, 1,015.73 and 588.02 is: 878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.50 : 1,015.73 = 588.02 : x
  2. Step 2: Convert to fraction form
    679.50/1,015.73 = 588.02/x
  3. Step 3: Cross multiply
    679.50x = 1,015.73 × 588.02
  4. Step 4: Simplify right side
    679.50x = 597,261.54
  5. Step 5: Solve for x
    x = 597,261.54/679.50
  6. Step 6: Final answer
    x = 878.97

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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.