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Finding the Fourth Proportional to 576.52, 865.38 and 415.23

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Solution

The fourth proportional to 576.52, 865.38 and 415.23 is: 623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.52 : 865.38 = 415.23 : x
  2. Step 2: Convert to fraction form
    576.52/865.38 = 415.23/x
  3. Step 3: Cross multiply
    576.52x = 865.38 × 415.23
  4. Step 4: Simplify right side
    576.52x = 359,330.05
  5. Step 5: Solve for x
    x = 359,330.05/576.52
  6. Step 6: Final answer
    x = 623.28

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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.