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Finding the Fourth Proportional to 880.91, 1,213.17 and 861.77

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Solution

The fourth proportional to 880.91, 1,213.17 and 861.77 is: 1,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.91 : 1,213.17 = 861.77 : x
  2. Step 2: Convert to fraction form
    880.91/1,213.17 = 861.77/x
  3. Step 3: Cross multiply
    880.91x = 1,213.17 × 861.77
  4. Step 4: Simplify right side
    880.91x = 1,045,467.45
  5. Step 5: Solve for x
    x = 1,045,467.45/880.91
  6. Step 6: Final answer
    x = 1,186.81

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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.