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Finding the Fourth Proportional to 869.91, 1,199.86 and 633.61

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Solution

The fourth proportional to 869.91, 1,199.86 and 633.61 is: 873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.91 : 1,199.86 = 633.61 : x
  2. Step 2: Convert to fraction form
    869.91/1,199.86 = 633.61/x
  3. Step 3: Cross multiply
    869.91x = 1,199.86 × 633.61
  4. Step 4: Simplify right side
    869.91x = 760,243.29
  5. Step 5: Solve for x
    x = 760,243.29/869.91
  6. Step 6: Final answer
    x = 873.93

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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.