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Finding the Fourth Proportional to 868.90, 1,200.09 and 633.91

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Solution

The fourth proportional to 868.90, 1,200.09 and 633.91 is: 875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.90 : 1,200.09 = 633.91 : x
  2. Step 2: Convert to fraction form
    868.90/1,200.09 = 633.91/x
  3. Step 3: Cross multiply
    868.90x = 1,200.09 × 633.91
  4. Step 4: Simplify right side
    868.90x = 760,749.05
  5. Step 5: Solve for x
    x = 760,749.05/868.90
  6. Step 6: Final answer
    x = 875.53

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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.