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Finding the Fourth Proportional to 865.73, 1,305.69 and 838.01

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Solution

The fourth proportional to 865.73, 1,305.69 and 838.01 is: 1,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.73 : 1,305.69 = 838.01 : x
  2. Step 2: Convert to fraction form
    865.73/1,305.69 = 838.01/x
  3. Step 3: Cross multiply
    865.73x = 1,305.69 × 838.01
  4. Step 4: Simplify right side
    865.73x = 1,094,174.75
  5. Step 5: Solve for x
    x = 1,094,174.75/865.73
  6. Step 6: Final answer
    x = 1,263.88

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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.