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Finding the Fourth Proportional to 1,121.54, 1,683.87 and 734.18

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Solution

The fourth proportional to 1,121.54, 1,683.87 and 734.18 is: 1,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.54 : 1,683.87 = 734.18 : x
  2. Step 2: Convert to fraction form
    1,121.54/1,683.87 = 734.18/x
  3. Step 3: Cross multiply
    1,121.54x = 1,683.87 × 734.18
  4. Step 4: Simplify right side
    1,121.54x = 1,236,263.68
  5. Step 5: Solve for x
    x = 1,236,263.68/1,121.54
  6. Step 6: Final answer
    x = 1,102.29

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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.