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Finding the Fourth Proportional to 886.98, 1,222.62 and 869.70

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Solution

The fourth proportional to 886.98, 1,222.62 and 869.70 is: 1,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.98 : 1,222.62 = 869.70 : x
  2. Step 2: Convert to fraction form
    886.98/1,222.62 = 869.70/x
  3. Step 3: Cross multiply
    886.98x = 1,222.62 × 869.70
  4. Step 4: Simplify right side
    886.98x = 1,063,312.61
  5. Step 5: Solve for x
    x = 1,063,312.61/886.98
  6. Step 6: Final answer
    x = 1,198.80

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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.