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Finding the Fourth Proportional to 1,080.20, 1,620.32 and 349.85

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Solution

The fourth proportional to 1,080.20, 1,620.32 and 349.85 is: 524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.20 : 1,620.32 = 349.85 : x
  2. Step 2: Convert to fraction form
    1,080.20/1,620.32 = 349.85/x
  3. Step 3: Cross multiply
    1,080.20x = 1,620.32 × 349.85
  4. Step 4: Simplify right side
    1,080.20x = 566,859.10
  5. Step 5: Solve for x
    x = 566,859.10/1,080.20
  6. Step 6: Final answer
    x = 524.77

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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.