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Finding the Fourth Proportional to 886.18, 1,335.90 and 826.71

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Solution

The fourth proportional to 886.18, 1,335.90 and 826.71 is: 1,246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.18 : 1,335.90 = 826.71 : x
  2. Step 2: Convert to fraction form
    886.18/1,335.90 = 826.71/x
  3. Step 3: Cross multiply
    886.18x = 1,335.90 × 826.71
  4. Step 4: Simplify right side
    886.18x = 1,104,401.89
  5. Step 5: Solve for x
    x = 1,104,401.89/886.18
  6. Step 6: Final answer
    x = 1,246.26

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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.