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Finding the Fourth Proportional to 726.19, 1,088.30 and 330.38

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Solution

The fourth proportional to 726.19, 1,088.30 and 330.38 is: 495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.19 : 1,088.30 = 330.38 : x
  2. Step 2: Convert to fraction form
    726.19/1,088.30 = 330.38/x
  3. Step 3: Cross multiply
    726.19x = 1,088.30 × 330.38
  4. Step 4: Simplify right side
    726.19x = 359,545.46
  5. Step 5: Solve for x
    x = 359,545.46/726.19
  6. Step 6: Final answer
    x = 495.11

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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.