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Finding the Fourth Proportional to 1,229.83, 1,845.37 and 767.50

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Solution

The fourth proportional to 1,229.83, 1,845.37 and 767.50 is: 1,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.83 : 1,845.37 = 767.50 : x
  2. Step 2: Convert to fraction form
    1,229.83/1,845.37 = 767.50/x
  3. Step 3: Cross multiply
    1,229.83x = 1,845.37 × 767.50
  4. Step 4: Simplify right side
    1,229.83x = 1,416,321.48
  5. Step 5: Solve for x
    x = 1,416,321.48/1,229.83
  6. Step 6: Final answer
    x = 1,151.64

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Double scale
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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.