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Finding the Fourth Proportional to 1,287.22, 1,930.83 and 517.72

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Solution

The fourth proportional to 1,287.22, 1,930.83 and 517.72 is: 776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.22 : 1,930.83 = 517.72 : x
  2. Step 2: Convert to fraction form
    1,287.22/1,930.83 = 517.72/x
  3. Step 3: Cross multiply
    1,287.22x = 1,930.83 × 517.72
  4. Step 4: Simplify right side
    1,287.22x = 999,629.31
  5. Step 5: Solve for x
    x = 999,629.31/1,287.22
  6. Step 6: Final answer
    x = 776.58

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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.