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Finding the Fourth Proportional to 908.39, 1,362.59 and 726.14

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Solution

The fourth proportional to 908.39, 1,362.59 and 726.14 is: 1,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.39 : 1,362.59 = 726.14 : x
  2. Step 2: Convert to fraction form
    908.39/1,362.59 = 726.14/x
  3. Step 3: Cross multiply
    908.39x = 1,362.59 × 726.14
  4. Step 4: Simplify right side
    908.39x = 989,420.66
  5. Step 5: Solve for x
    x = 989,420.66/908.39
  6. Step 6: Final answer
    x = 1,089.21

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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.