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Finding the Fourth Proportional to 877.84, 1,212.66 and 701.97

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Solution

The fourth proportional to 877.84, 1,212.66 and 701.97 is: 969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.84 : 1,212.66 = 701.97 : x
  2. Step 2: Convert to fraction form
    877.84/1,212.66 = 701.97/x
  3. Step 3: Cross multiply
    877.84x = 1,212.66 × 701.97
  4. Step 4: Simplify right side
    877.84x = 851,246.39
  5. Step 5: Solve for x
    x = 851,246.39/877.84
  6. Step 6: Final answer
    x = 969.71

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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.