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Finding the Fourth Proportional to 1,629.74, 2,442.99 and 935.57

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Solution

The fourth proportional to 1,629.74, 2,442.99 and 935.57 is: 1,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.74 : 2,442.99 = 935.57 : x
  2. Step 2: Convert to fraction form
    1,629.74/2,442.99 = 935.57/x
  3. Step 3: Cross multiply
    1,629.74x = 2,442.99 × 935.57
  4. Step 4: Simplify right side
    1,629.74x = 2,285,583.48
  5. Step 5: Solve for x
    x = 2,285,583.48/1,629.74
  6. Step 6: Final answer
    x = 1,402.42

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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.