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Finding the Fourth Proportional to 877.44, 1,216.08 and 861.04

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Solution

The fourth proportional to 877.44, 1,216.08 and 861.04 is: 1,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.44 : 1,216.08 = 861.04 : x
  2. Step 2: Convert to fraction form
    877.44/1,216.08 = 861.04/x
  3. Step 3: Cross multiply
    877.44x = 1,216.08 × 861.04
  4. Step 4: Simplify right side
    877.44x = 1,047,093.52
  5. Step 5: Solve for x
    x = 1,047,093.52/877.44
  6. Step 6: Final answer
    x = 1,193.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.