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Finding the Fourth Proportional to 886.05, 1,335.71 and 826.58

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Solution

The fourth proportional to 886.05, 1,335.71 and 826.58 is: 1,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.05 : 1,335.71 = 826.58 : x
  2. Step 2: Convert to fraction form
    886.05/1,335.71 = 826.58/x
  3. Step 3: Cross multiply
    886.05x = 1,335.71 × 826.58
  4. Step 4: Simplify right side
    886.05x = 1,104,076.58
  5. Step 5: Solve for x
    x = 1,104,076.58/886.05
  6. Step 6: Final answer
    x = 1,246.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.