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Finding the Fourth Proportional to 1,025.22, 1,538.04 and 440.22

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Solution

The fourth proportional to 1,025.22, 1,538.04 and 440.22 is: 660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.22 : 1,538.04 = 440.22 : x
  2. Step 2: Convert to fraction form
    1,025.22/1,538.04 = 440.22/x
  3. Step 3: Cross multiply
    1,025.22x = 1,538.04 × 440.22
  4. Step 4: Simplify right side
    1,025.22x = 677,075.97
  5. Step 5: Solve for x
    x = 677,075.97/1,025.22
  6. Step 6: Final answer
    x = 660.42

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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.