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Finding the Fourth Proportional to 576.68, 864.18 and 284.09

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Solution

The fourth proportional to 576.68, 864.18 and 284.09 is: 425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.68 : 864.18 = 284.09 : x
  2. Step 2: Convert to fraction form
    576.68/864.18 = 284.09/x
  3. Step 3: Cross multiply
    576.68x = 864.18 × 284.09
  4. Step 4: Simplify right side
    576.68x = 245,504.90
  5. Step 5: Solve for x
    x = 245,504.90/576.68
  6. Step 6: Final answer
    x = 425.72

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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.