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Finding the Fourth Proportional to 865.76, 1,194 and 788

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Solution

The fourth proportional to 865.76, 1,194 and 788 is: 1,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.76 : 1,194 = 788 : x
  2. Step 2: Convert to fraction form
    865.76/1,194 = 788/x
  3. Step 3: Cross multiply
    865.76x = 1,194 × 788
  4. Step 4: Simplify right side
    865.76x = 940,872
  5. Step 5: Solve for x
    x = 940,872/865.76
  6. Step 6: Final answer
    x = 1,086.76

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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.