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Finding the Fourth Proportional to 1,219.85, 1,683.07 and 695.78

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Solution

The fourth proportional to 1,219.85, 1,683.07 and 695.78 is: 959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.85 : 1,683.07 = 695.78 : x
  2. Step 2: Convert to fraction form
    1,219.85/1,683.07 = 695.78/x
  3. Step 3: Cross multiply
    1,219.85x = 1,683.07 × 695.78
  4. Step 4: Simplify right side
    1,219.85x = 1,171,046.44
  5. Step 5: Solve for x
    x = 1,171,046.44/1,219.85
  6. Step 6: Final answer
    x = 959.99

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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.