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Finding the Fourth Proportional to 576.78, 864.36 and 414.11

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Solution

The fourth proportional to 576.78, 864.36 and 414.11 is: 620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.78 : 864.36 = 414.11 : x
  2. Step 2: Convert to fraction form
    576.78/864.36 = 414.11/x
  3. Step 3: Cross multiply
    576.78x = 864.36 × 414.11
  4. Step 4: Simplify right side
    576.78x = 357,935.80
  5. Step 5: Solve for x
    x = 357,935.80/576.78
  6. Step 6: Final answer
    x = 620.58

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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.