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Finding the Fourth Proportional to 886.02, 1,227.62 and 866.58

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Solution

The fourth proportional to 886.02, 1,227.62 and 866.58 is: 1,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.02 : 1,227.62 = 866.58 : x
  2. Step 2: Convert to fraction form
    886.02/1,227.62 = 866.58/x
  3. Step 3: Cross multiply
    886.02x = 1,227.62 × 866.58
  4. Step 4: Simplify right side
    886.02x = 1,063,826.61
  5. Step 5: Solve for x
    x = 1,063,826.61/886.02
  6. Step 6: Final answer
    x = 1,200.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.