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Finding the Fourth Proportional to 877.13, 1,211.97 and 701.54

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Solution

The fourth proportional to 877.13, 1,211.97 and 701.54 is: 969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.13 : 1,211.97 = 701.54 : x
  2. Step 2: Convert to fraction form
    877.13/1,211.97 = 701.54/x
  3. Step 3: Cross multiply
    877.13x = 1,211.97 × 701.54
  4. Step 4: Simplify right side
    877.13x = 850,245.43
  5. Step 5: Solve for x
    x = 850,245.43/877.13
  6. Step 6: Final answer
    x = 969.35

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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.