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Finding the Fourth Proportional to 1,690.85, 2,535.39 and 765.96

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Solution

The fourth proportional to 1,690.85, 2,535.39 and 765.96 is: 1,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.85 : 2,535.39 = 765.96 : x
  2. Step 2: Convert to fraction form
    1,690.85/2,535.39 = 765.96/x
  3. Step 3: Cross multiply
    1,690.85x = 2,535.39 × 765.96
  4. Step 4: Simplify right side
    1,690.85x = 1,942,007.32
  5. Step 5: Solve for x
    x = 1,942,007.32/1,690.85
  6. Step 6: Final answer
    x = 1,148.54

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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.