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Finding the Fourth Proportional to 877.22, 1,308.42 and 826.46

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Solution

The fourth proportional to 877.22, 1,308.42 and 826.46 is: 1,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.22 : 1,308.42 = 826.46 : x
  2. Step 2: Convert to fraction form
    877.22/1,308.42 = 826.46/x
  3. Step 3: Cross multiply
    877.22x = 1,308.42 × 826.46
  4. Step 4: Simplify right side
    877.22x = 1,081,356.79
  5. Step 5: Solve for x
    x = 1,081,356.79/877.22
  6. Step 6: Final answer
    x = 1,232.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.