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Finding the Fourth Proportional to 1,295.29, 1,942.94 and 515.24

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Solution

The fourth proportional to 1,295.29, 1,942.94 and 515.24 is: 772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.29 : 1,942.94 = 515.24 : x
  2. Step 2: Convert to fraction form
    1,295.29/1,942.94 = 515.24/x
  3. Step 3: Cross multiply
    1,295.29x = 1,942.94 × 515.24
  4. Step 4: Simplify right side
    1,295.29x = 1,001,072.97
  5. Step 5: Solve for x
    x = 1,001,072.97/1,295.29
  6. Step 6: Final answer
    x = 772.86

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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.