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Finding the Fourth Proportional to 726.11, 1,089.15 and 293.25

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Solution

The fourth proportional to 726.11, 1,089.15 and 293.25 is: 439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.11 : 1,089.15 = 293.25 : x
  2. Step 2: Convert to fraction form
    726.11/1,089.15 = 293.25/x
  3. Step 3: Cross multiply
    726.11x = 1,089.15 × 293.25
  4. Step 4: Simplify right side
    726.11x = 319,393.24
  5. Step 5: Solve for x
    x = 319,393.24/726.11
  6. Step 6: Final answer
    x = 439.87

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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.