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Finding the Fourth Proportional to 726.05, 1,089.03 and 238.94

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Solution

The fourth proportional to 726.05, 1,089.03 and 238.94 is: 358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.05 : 1,089.03 = 238.94 : x
  2. Step 2: Convert to fraction form
    726.05/1,089.03 = 238.94/x
  3. Step 3: Cross multiply
    726.05x = 1,089.03 × 238.94
  4. Step 4: Simplify right side
    726.05x = 260,212.83
  5. Step 5: Solve for x
    x = 260,212.83/726.05
  6. Step 6: Final answer
    x = 358.40

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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.