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Finding the Fourth Proportional to 825.20, 1,238.36 and 440.72

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Solution

The fourth proportional to 825.20, 1,238.36 and 440.72 is: 661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.20 : 1,238.36 = 440.72 : x
  2. Step 2: Convert to fraction form
    825.20/1,238.36 = 440.72/x
  3. Step 3: Cross multiply
    825.20x = 1,238.36 × 440.72
  4. Step 4: Simplify right side
    825.20x = 545,770.02
  5. Step 5: Solve for x
    x = 545,770.02/825.20
  6. Step 6: Final answer
    x = 661.38

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1.5x scale

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.