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Finding the Fourth Proportional to 912.42, 1,260.57 and 867.47

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Solution

The fourth proportional to 912.42, 1,260.57 and 867.47 is: 1,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.42 : 1,260.57 = 867.47 : x
  2. Step 2: Convert to fraction form
    912.42/1,260.57 = 867.47/x
  3. Step 3: Cross multiply
    912.42x = 1,260.57 × 867.47
  4. Step 4: Simplify right side
    912.42x = 1,093,500.36
  5. Step 5: Solve for x
    x = 1,093,500.36/912.42
  6. Step 6: Final answer
    x = 1,198.46

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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.