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Finding the Fourth Proportional to 865.51, 1,194.68 and 821.43

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Solution

The fourth proportional to 865.51, 1,194.68 and 821.43 is: 1,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.51 : 1,194.68 = 821.43 : x
  2. Step 2: Convert to fraction form
    865.51/1,194.68 = 821.43/x
  3. Step 3: Cross multiply
    865.51x = 1,194.68 × 821.43
  4. Step 4: Simplify right side
    865.51x = 981,345.99
  5. Step 5: Solve for x
    x = 981,345.99/865.51
  6. Step 6: Final answer
    x = 1,133.84

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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.