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Finding the Fourth Proportional to 726.39, 1,089.09 and 418.38

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Solution

The fourth proportional to 726.39, 1,089.09 and 418.38 is: 627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.39 : 1,089.09 = 418.38 : x
  2. Step 2: Convert to fraction form
    726.39/1,089.09 = 418.38/x
  3. Step 3: Cross multiply
    726.39x = 1,089.09 × 418.38
  4. Step 4: Simplify right side
    726.39x = 455,653.47
  5. Step 5: Solve for x
    x = 455,653.47/726.39
  6. Step 6: Final answer
    x = 627.28

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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.