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Finding the Fourth Proportional to 1,281.87, 1,920.90 and 696.36

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Solution

The fourth proportional to 1,281.87, 1,920.90 and 696.36 is: 1,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.87 : 1,920.90 = 696.36 : x
  2. Step 2: Convert to fraction form
    1,281.87/1,920.90 = 696.36/x
  3. Step 3: Cross multiply
    1,281.87x = 1,920.90 × 696.36
  4. Step 4: Simplify right side
    1,281.87x = 1,337,637.92
  5. Step 5: Solve for x
    x = 1,337,637.92/1,281.87
  6. Step 6: Final answer
    x = 1,043.51

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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.