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Finding the Fourth Proportional to 576.78, 864.33 and 414.54

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Solution

The fourth proportional to 576.78, 864.33 and 414.54 is: 621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.78 : 864.33 = 414.54 : x
  2. Step 2: Convert to fraction form
    576.78/864.33 = 414.54/x
  3. Step 3: Cross multiply
    576.78x = 864.33 × 414.54
  4. Step 4: Simplify right side
    576.78x = 358,299.36
  5. Step 5: Solve for x
    x = 358,299.36/576.78
  6. Step 6: Final answer
    x = 621.21

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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.