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Finding the Fourth Proportional to 1,220.13, 1,683.78 and 689.03

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Solution

The fourth proportional to 1,220.13, 1,683.78 and 689.03 is: 950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.13 : 1,683.78 = 689.03 : x
  2. Step 2: Convert to fraction form
    1,220.13/1,683.78 = 689.03/x
  3. Step 3: Cross multiply
    1,220.13x = 1,683.78 × 689.03
  4. Step 4: Simplify right side
    1,220.13x = 1,160,185.53
  5. Step 5: Solve for x
    x = 1,160,185.53/1,220.13
  6. Step 6: Final answer
    x = 950.87

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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.