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Finding the Fourth Proportional to 636.63, 876.09 and 584.22

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Solution

The fourth proportional to 636.63, 876.09 and 584.22 is: 803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.63 : 876.09 = 584.22 : x
  2. Step 2: Convert to fraction form
    636.63/876.09 = 584.22/x
  3. Step 3: Cross multiply
    636.63x = 876.09 × 584.22
  4. Step 4: Simplify right side
    636.63x = 511,829.30
  5. Step 5: Solve for x
    x = 511,829.30/636.63
  6. Step 6: Final answer
    x = 803.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.