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Finding the Fourth Proportional to 912.10, 1,365.40 and 825.48

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Solution

The fourth proportional to 912.10, 1,365.40 and 825.48 is: 1,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.10 : 1,365.40 = 825.48 : x
  2. Step 2: Convert to fraction form
    912.10/1,365.40 = 825.48/x
  3. Step 3: Cross multiply
    912.10x = 1,365.40 × 825.48
  4. Step 4: Simplify right side
    912.10x = 1,127,110.39
  5. Step 5: Solve for x
    x = 1,127,110.39/912.10
  6. Step 6: Final answer
    x = 1,235.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.