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Finding the Fourth Proportional to 975.08, 1,344.12 and 834.12

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Solution

The fourth proportional to 975.08, 1,344.12 and 834.12 is: 1,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.08 : 1,344.12 = 834.12 : x
  2. Step 2: Convert to fraction form
    975.08/1,344.12 = 834.12/x
  3. Step 3: Cross multiply
    975.08x = 1,344.12 × 834.12
  4. Step 4: Simplify right side
    975.08x = 1,121,157.37
  5. Step 5: Solve for x
    x = 1,121,157.37/975.08
  6. Step 6: Final answer
    x = 1,149.81

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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.