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Finding the Fourth Proportional to 576.78, 864.58 and 230.02

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Solution

The fourth proportional to 576.78, 864.58 and 230.02 is: 344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.78 : 864.58 = 230.02 : x
  2. Step 2: Convert to fraction form
    576.78/864.58 = 230.02/x
  3. Step 3: Cross multiply
    576.78x = 864.58 × 230.02
  4. Step 4: Simplify right side
    576.78x = 198,870.69
  5. Step 5: Solve for x
    x = 198,870.69/576.78
  6. Step 6: Final answer
    x = 344.79

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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.