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Finding the Fourth Proportional to 1,080.42, 1,620.84 and 532.56

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Solution

The fourth proportional to 1,080.42, 1,620.84 and 532.56 is: 798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.42 : 1,620.84 = 532.56 : x
  2. Step 2: Convert to fraction form
    1,080.42/1,620.84 = 532.56/x
  3. Step 3: Cross multiply
    1,080.42x = 1,620.84 × 532.56
  4. Step 4: Simplify right side
    1,080.42x = 863,194.55
  5. Step 5: Solve for x
    x = 863,194.55/1,080.42
  6. Step 6: Final answer
    x = 798.94

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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.