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Finding the Fourth Proportional to 480.45, 717.39 and 411.87

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Solution

The fourth proportional to 480.45, 717.39 and 411.87 is: 614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.45 : 717.39 = 411.87 : x
  2. Step 2: Convert to fraction form
    480.45/717.39 = 411.87/x
  3. Step 3: Cross multiply
    480.45x = 717.39 × 411.87
  4. Step 4: Simplify right side
    480.45x = 295,471.42
  5. Step 5: Solve for x
    x = 295,471.42/480.45
  6. Step 6: Final answer
    x = 614.99

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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.