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Finding the Fourth Proportional to 665.11, 996.91 and 588.26

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Solution

The fourth proportional to 665.11, 996.91 and 588.26 is: 881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.11 : 996.91 = 588.26 : x
  2. Step 2: Convert to fraction form
    665.11/996.91 = 588.26/x
  3. Step 3: Cross multiply
    665.11x = 996.91 × 588.26
  4. Step 4: Simplify right side
    665.11x = 586,443.30
  5. Step 5: Solve for x
    x = 586,443.30/665.11
  6. Step 6: Final answer
    x = 881.72

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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.