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Finding the Fourth Proportional to 900.38, 1,241.11 and 825.05

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Solution

The fourth proportional to 900.38, 1,241.11 and 825.05 is: 1,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.38 : 1,241.11 = 825.05 : x
  2. Step 2: Convert to fraction form
    900.38/1,241.11 = 825.05/x
  3. Step 3: Cross multiply
    900.38x = 1,241.11 × 825.05
  4. Step 4: Simplify right side
    900.38x = 1,023,977.81
  5. Step 5: Solve for x
    x = 1,023,977.81/900.38
  6. Step 6: Final answer
    x = 1,137.27

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1.5x scale

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.