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Finding the Fourth Proportional to 726.88, 1,089.84 and 239.86

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Solution

The fourth proportional to 726.88, 1,089.84 and 239.86 is: 359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.88 : 1,089.84 = 239.86 : x
  2. Step 2: Convert to fraction form
    726.88/1,089.84 = 239.86/x
  3. Step 3: Cross multiply
    726.88x = 1,089.84 × 239.86
  4. Step 4: Simplify right side
    726.88x = 261,409.02
  5. Step 5: Solve for x
    x = 261,409.02/726.88
  6. Step 6: Final answer
    x = 359.63

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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.