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Finding the Fourth Proportional to 1,219.77, 1,683.28 and 660.25

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Solution

The fourth proportional to 1,219.77, 1,683.28 and 660.25 is: 911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.77 : 1,683.28 = 660.25 : x
  2. Step 2: Convert to fraction form
    1,219.77/1,683.28 = 660.25/x
  3. Step 3: Cross multiply
    1,219.77x = 1,683.28 × 660.25
  4. Step 4: Simplify right side
    1,219.77x = 1,111,388.55
  5. Step 5: Solve for x
    x = 1,111,388.55/1,219.77
  6. Step 6: Final answer
    x = 911.14

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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.