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Finding the Fourth Proportional to 894.17, 1,339.22 and 826.74

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Solution

The fourth proportional to 894.17, 1,339.22 and 826.74 is: 1,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.17 : 1,339.22 = 826.74 : x
  2. Step 2: Convert to fraction form
    894.17/1,339.22 = 826.74/x
  3. Step 3: Cross multiply
    894.17x = 1,339.22 × 826.74
  4. Step 4: Simplify right side
    894.17x = 1,107,186.74
  5. Step 5: Solve for x
    x = 1,107,186.74/894.17
  6. Step 6: Final answer
    x = 1,238.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.