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Finding the Fourth Proportional to 664.70, 994.11 and 592.11

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Solution

The fourth proportional to 664.70, 994.11 and 592.11 is: 885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.70 : 994.11 = 592.11 : x
  2. Step 2: Convert to fraction form
    664.70/994.11 = 592.11/x
  3. Step 3: Cross multiply
    664.70x = 994.11 × 592.11
  4. Step 4: Simplify right side
    664.70x = 588,617.50
  5. Step 5: Solve for x
    x = 588,617.50/664.70
  6. Step 6: Final answer
    x = 885.54

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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.