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Finding the Fourth Proportional to 944.42, 1,301.21 and 825.48

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Solution

The fourth proportional to 944.42, 1,301.21 and 825.48 is: 1,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.42 : 1,301.21 = 825.48 : x
  2. Step 2: Convert to fraction form
    944.42/1,301.21 = 825.48/x
  3. Step 3: Cross multiply
    944.42x = 1,301.21 × 825.48
  4. Step 4: Simplify right side
    944.42x = 1,074,118.70
  5. Step 5: Solve for x
    x = 1,074,118.70/944.42
  6. Step 6: Final answer
    x = 1,137.34

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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.