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Finding the Fourth Proportional to 912.46, 1,374.80 and 825.90

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Solution

The fourth proportional to 912.46, 1,374.80 and 825.90 is: 1,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.46 : 1,374.80 = 825.90 : x
  2. Step 2: Convert to fraction form
    912.46/1,374.80 = 825.90/x
  3. Step 3: Cross multiply
    912.46x = 1,374.80 × 825.90
  4. Step 4: Simplify right side
    912.46x = 1,135,436.32
  5. Step 5: Solve for x
    x = 1,135,436.32/912.46
  6. Step 6: Final answer
    x = 1,244.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.