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Finding the Fourth Proportional to 886.97, 1,222.22 and 686.58

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Solution

The fourth proportional to 886.97, 1,222.22 and 686.58 is: 946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.97 : 1,222.22 = 686.58 : x
  2. Step 2: Convert to fraction form
    886.97/1,222.22 = 686.58/x
  3. Step 3: Cross multiply
    886.97x = 1,222.22 × 686.58
  4. Step 4: Simplify right side
    886.97x = 839,151.81
  5. Step 5: Solve for x
    x = 839,151.81/886.97
  6. Step 6: Final answer
    x = 946.09

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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.