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Finding the Fourth Proportional to 825.24, 1,238.40 and 440.76

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Solution

The fourth proportional to 825.24, 1,238.40 and 440.76 is: 661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.24 : 1,238.40 = 440.76 : x
  2. Step 2: Convert to fraction form
    825.24/1,238.40 = 440.76/x
  3. Step 3: Cross multiply
    825.24x = 1,238.40 × 440.76
  4. Step 4: Simplify right side
    825.24x = 545,837.18
  5. Step 5: Solve for x
    x = 545,837.18/825.24
  6. Step 6: Final answer
    x = 661.43

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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.