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Finding the Fourth Proportional to 905.13, 1,247.67 and 829.80

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Solution

The fourth proportional to 905.13, 1,247.67 and 829.80 is: 1,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.13 : 1,247.67 = 829.80 : x
  2. Step 2: Convert to fraction form
    905.13/1,247.67 = 829.80/x
  3. Step 3: Cross multiply
    905.13x = 1,247.67 × 829.80
  4. Step 4: Simplify right side
    905.13x = 1,035,316.57
  5. Step 5: Solve for x
    x = 1,035,316.57/905.13
  6. Step 6: Final answer
    x = 1,143.83

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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.