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Finding the Fourth Proportional to 576.48, 866.16 and 455.52

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Solution

The fourth proportional to 576.48, 866.16 and 455.52 is: 684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.48 : 866.16 = 455.52 : x
  2. Step 2: Convert to fraction form
    576.48/866.16 = 455.52/x
  3. Step 3: Cross multiply
    576.48x = 866.16 × 455.52
  4. Step 4: Simplify right side
    576.48x = 394,553.20
  5. Step 5: Solve for x
    x = 394,553.20/576.48
  6. Step 6: Final answer
    x = 684.42

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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.