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Finding the Fourth Proportional to 488.12, 726.61 and 480.83

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Solution

The fourth proportional to 488.12, 726.61 and 480.83 is: 715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.12 : 726.61 = 480.83 : x
  2. Step 2: Convert to fraction form
    488.12/726.61 = 480.83/x
  3. Step 3: Cross multiply
    488.12x = 726.61 × 480.83
  4. Step 4: Simplify right side
    488.12x = 349,373.48
  5. Step 5: Solve for x
    x = 349,373.48/488.12
  6. Step 6: Final answer
    x = 715.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.