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Finding the Fourth Proportional to 411.84, 616.08 and 408.72

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Solution

The fourth proportional to 411.84, 616.08 and 408.72 is: 611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 616.08 = 408.72 : x
  2. Step 2: Convert to fraction form
    411.84/616.08 = 408.72/x
  3. Step 3: Cross multiply
    411.84x = 616.08 × 408.72
  4. Step 4: Simplify right side
    411.84x = 251,804.22
  5. Step 5: Solve for x
    x = 251,804.22/411.84
  6. Step 6: Final answer
    x = 611.41

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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.