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Finding the Fourth Proportional to 576.83, 865.69 and 423.15

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Solution

The fourth proportional to 576.83, 865.69 and 423.15 is: 635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.83 : 865.69 = 423.15 : x
  2. Step 2: Convert to fraction form
    576.83/865.69 = 423.15/x
  3. Step 3: Cross multiply
    576.83x = 865.69 × 423.15
  4. Step 4: Simplify right side
    576.83x = 366,316.72
  5. Step 5: Solve for x
    x = 366,316.72/576.83
  6. Step 6: Final answer
    x = 635.05

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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.