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Finding the Fourth Proportional to 663.52, 993.21 and 593.96

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Solution

The fourth proportional to 663.52, 993.21 and 593.96 is: 889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.52 : 993.21 = 593.96 : x
  2. Step 2: Convert to fraction form
    663.52/993.21 = 593.96/x
  3. Step 3: Cross multiply
    663.52x = 993.21 × 593.96
  4. Step 4: Simplify right side
    663.52x = 589,927.01
  5. Step 5: Solve for x
    x = 589,927.01/663.52
  6. Step 6: Final answer
    x = 889.09

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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.