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Finding the Fourth Proportional to 668.29, 998.54 and 588.10

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Solution

The fourth proportional to 668.29, 998.54 and 588.10 is: 878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.29 : 998.54 = 588.10 : x
  2. Step 2: Convert to fraction form
    668.29/998.54 = 588.10/x
  3. Step 3: Cross multiply
    668.29x = 998.54 × 588.10
  4. Step 4: Simplify right side
    668.29x = 587,241.37
  5. Step 5: Solve for x
    x = 587,241.37/668.29
  6. Step 6: Final answer
    x = 878.72

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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.