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Finding the Fourth Proportional to 868.06, 1,196.18 and 736.84

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Solution

The fourth proportional to 868.06, 1,196.18 and 736.84 is: 1,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.06 : 1,196.18 = 736.84 : x
  2. Step 2: Convert to fraction form
    868.06/1,196.18 = 736.84/x
  3. Step 3: Cross multiply
    868.06x = 1,196.18 × 736.84
  4. Step 4: Simplify right side
    868.06x = 881,389.36
  5. Step 5: Solve for x
    x = 881,389.36/868.06
  6. Step 6: Final answer
    x = 1,015.36

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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.