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Finding the Fourth Proportional to 861.44, 1,298.51 and 811.27

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Solution

The fourth proportional to 861.44, 1,298.51 and 811.27 is: 1,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.44 : 1,298.51 = 811.27 : x
  2. Step 2: Convert to fraction form
    861.44/1,298.51 = 811.27/x
  3. Step 3: Cross multiply
    861.44x = 1,298.51 × 811.27
  4. Step 4: Simplify right side
    861.44x = 1,053,440.08
  5. Step 5: Solve for x
    x = 1,053,440.08/861.44
  6. Step 6: Final answer
    x = 1,222.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.