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Finding the Fourth Proportional to 576.68, 864.61 and 394.02

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Solution

The fourth proportional to 576.68, 864.61 and 394.02 is: 590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.68 : 864.61 = 394.02 : x
  2. Step 2: Convert to fraction form
    576.68/864.61 = 394.02/x
  3. Step 3: Cross multiply
    576.68x = 864.61 × 394.02
  4. Step 4: Simplify right side
    576.68x = 340,672.65
  5. Step 5: Solve for x
    x = 340,672.65/576.68
  6. Step 6: Final answer
    x = 590.75

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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.