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Finding the Fourth Proportional to 576.78, 865.08 and 252.06

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Solution

The fourth proportional to 576.78, 865.08 and 252.06 is: 378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.78 : 865.08 = 252.06 : x
  2. Step 2: Convert to fraction form
    576.78/865.08 = 252.06/x
  3. Step 3: Cross multiply
    576.78x = 865.08 × 252.06
  4. Step 4: Simplify right side
    576.78x = 218,052.06
  5. Step 5: Solve for x
    x = 218,052.06/576.78
  6. Step 6: Final answer
    x = 378.05

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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.