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Finding the Fourth Proportional to 1,605.87, 2,216.09 and 933.44

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Solution

The fourth proportional to 1,605.87, 2,216.09 and 933.44 is: 1,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.87 : 2,216.09 = 933.44 : x
  2. Step 2: Convert to fraction form
    1,605.87/2,216.09 = 933.44/x
  3. Step 3: Cross multiply
    1,605.87x = 2,216.09 × 933.44
  4. Step 4: Simplify right side
    1,605.87x = 2,068,578.30
  5. Step 5: Solve for x
    x = 2,068,578.30/1,605.87
  6. Step 6: Final answer
    x = 1,288.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.