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Finding the Fourth Proportional to 1,219.88, 1,683.69 and 777.68

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Solution

The fourth proportional to 1,219.88, 1,683.69 and 777.68 is: 1,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.88 : 1,683.69 = 777.68 : x
  2. Step 2: Convert to fraction form
    1,219.88/1,683.69 = 777.68/x
  3. Step 3: Cross multiply
    1,219.88x = 1,683.69 × 777.68
  4. Step 4: Simplify right side
    1,219.88x = 1,309,363.62
  5. Step 5: Solve for x
    x = 1,309,363.62/1,219.88
  6. Step 6: Final answer
    x = 1,073.36

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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.