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Finding the Fourth Proportional to 865.94, 1,192.96 and 760.84

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Solution

The fourth proportional to 865.94, 1,192.96 and 760.84 is: 1,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.94 : 1,192.96 = 760.84 : x
  2. Step 2: Convert to fraction form
    865.94/1,192.96 = 760.84/x
  3. Step 3: Cross multiply
    865.94x = 1,192.96 × 760.84
  4. Step 4: Simplify right side
    865.94x = 907,651.69
  5. Step 5: Solve for x
    x = 907,651.69/865.94
  6. Step 6: Final answer
    x = 1,048.17

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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.