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Finding the Fourth Proportional to 868.24, 1,196.76 and 605.80

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Solution

The fourth proportional to 868.24, 1,196.76 and 605.80 is: 835.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.24 : 1,196.76 = 605.80 : x
  2. Step 2: Convert to fraction form
    868.24/1,196.76 = 605.80/x
  3. Step 3: Cross multiply
    868.24x = 1,196.76 × 605.80
  4. Step 4: Simplify right side
    868.24x = 724,997.21
  5. Step 5: Solve for x
    x = 724,997.21/868.24
  6. Step 6: Final answer
    x = 835.02

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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.