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Finding the Fourth Proportional to 726.61, 1,089.81 and 293.80

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Solution

The fourth proportional to 726.61, 1,089.81 and 293.80 is: 440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.61 : 1,089.81 = 293.80 : x
  2. Step 2: Convert to fraction form
    726.61/1,089.81 = 293.80/x
  3. Step 3: Cross multiply
    726.61x = 1,089.81 × 293.80
  4. Step 4: Simplify right side
    726.61x = 320,186.18
  5. Step 5: Solve for x
    x = 320,186.18/726.61
  6. Step 6: Final answer
    x = 440.66

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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.