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Finding the Fourth Proportional to 1,200.22, 1,798.17 and 505.65

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Solution

The fourth proportional to 1,200.22, 1,798.17 and 505.65 is: 757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.22 : 1,798.17 = 505.65 : x
  2. Step 2: Convert to fraction form
    1,200.22/1,798.17 = 505.65/x
  3. Step 3: Cross multiply
    1,200.22x = 1,798.17 × 505.65
  4. Step 4: Simplify right side
    1,200.22x = 909,244.66
  5. Step 5: Solve for x
    x = 909,244.66/1,200.22
  6. Step 6: Final answer
    x = 757.56

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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.