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Finding the Fourth Proportional to 483.49, 726.14 and 319.11

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Solution

The fourth proportional to 483.49, 726.14 and 319.11 is: 479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.49 : 726.14 = 319.11 : x
  2. Step 2: Convert to fraction form
    483.49/726.14 = 319.11/x
  3. Step 3: Cross multiply
    483.49x = 726.14 × 319.11
  4. Step 4: Simplify right side
    483.49x = 231,718.54
  5. Step 5: Solve for x
    x = 231,718.54/483.49
  6. Step 6: Final answer
    x = 479.26

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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.