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Finding the Fourth Proportional to 480.93, 716.20 and 449.79

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Solution

The fourth proportional to 480.93, 716.20 and 449.79 is: 669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.93 : 716.20 = 449.79 : x
  2. Step 2: Convert to fraction form
    480.93/716.20 = 449.79/x
  3. Step 3: Cross multiply
    480.93x = 716.20 × 449.79
  4. Step 4: Simplify right side
    480.93x = 322,137.57
  5. Step 5: Solve for x
    x = 322,137.57/480.93
  6. Step 6: Final answer
    x = 669.83

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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.