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Finding the Fourth Proportional to 1,690.33, 2,333.72 and 1,093.11

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Solution

The fourth proportional to 1,690.33, 2,333.72 and 1,093.11 is: 1,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.33 : 2,333.72 = 1,093.11 : x
  2. Step 2: Convert to fraction form
    1,690.33/2,333.72 = 1,093.11/x
  3. Step 3: Cross multiply
    1,690.33x = 2,333.72 × 1,093.11
  4. Step 4: Simplify right side
    1,690.33x = 2,551,012.67
  5. Step 5: Solve for x
    x = 2,551,012.67/1,690.33
  6. Step 6: Final answer
    x = 1,509.18

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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.