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Finding the Fourth Proportional to 638, 879.84 and 588.36

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Solution

The fourth proportional to 638, 879.84 and 588.36 is: 811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    638 : 879.84 = 588.36 : x
  2. Step 2: Convert to fraction form
    638/879.84 = 588.36/x
  3. Step 3: Cross multiply
    638x = 879.84 × 588.36
  4. Step 4: Simplify right side
    638x = 517,662.66
  5. Step 5: Solve for x
    x = 517,662.66/638
  6. Step 6: Final answer
    x = 811.38

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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.