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Finding the Fourth Proportional to 664.40, 998.76 and 596.24

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Solution

The fourth proportional to 664.40, 998.76 and 596.24 is: 896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.40 : 998.76 = 596.24 : x
  2. Step 2: Convert to fraction form
    664.40/998.76 = 596.24/x
  3. Step 3: Cross multiply
    664.40x = 998.76 × 596.24
  4. Step 4: Simplify right side
    664.40x = 595,500.66
  5. Step 5: Solve for x
    x = 595,500.66/664.40
  6. Step 6: Final answer
    x = 896.30

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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.