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Finding the Fourth Proportional to 635.90, 869.98 and 633.17

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Solution

The fourth proportional to 635.90, 869.98 and 633.17 is: 866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.90 : 869.98 = 633.17 : x
  2. Step 2: Convert to fraction form
    635.90/869.98 = 633.17/x
  3. Step 3: Cross multiply
    635.90x = 869.98 × 633.17
  4. Step 4: Simplify right side
    635.90x = 550,841.68
  5. Step 5: Solve for x
    x = 550,841.68/635.90
  6. Step 6: Final answer
    x = 866.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.