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Finding the Fourth Proportional to 726.41, 1,089.89 and 438.05

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Solution

The fourth proportional to 726.41, 1,089.89 and 438.05 is: 657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.41 : 1,089.89 = 438.05 : x
  2. Step 2: Convert to fraction form
    726.41/1,089.89 = 438.05/x
  3. Step 3: Cross multiply
    726.41x = 1,089.89 × 438.05
  4. Step 4: Simplify right side
    726.41x = 477,426.31
  5. Step 5: Solve for x
    x = 477,426.31/726.41
  6. Step 6: Final answer
    x = 657.24

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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.