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Finding the Fourth Proportional to 483.62, 726.42 and 391.17

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Solution

The fourth proportional to 483.62, 726.42 and 391.17 is: 587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.62 : 726.42 = 391.17 : x
  2. Step 2: Convert to fraction form
    483.62/726.42 = 391.17/x
  3. Step 3: Cross multiply
    483.62x = 726.42 × 391.17
  4. Step 4: Simplify right side
    483.62x = 284,153.82
  5. Step 5: Solve for x
    x = 284,153.82/483.62
  6. Step 6: Final answer
    x = 587.56

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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.