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Finding the Fourth Proportional to 1,258.20, 1,736.37 and 734.22

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Solution

The fourth proportional to 1,258.20, 1,736.37 and 734.22 is: 1,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.20 : 1,736.37 = 734.22 : x
  2. Step 2: Convert to fraction form
    1,258.20/1,736.37 = 734.22/x
  3. Step 3: Cross multiply
    1,258.20x = 1,736.37 × 734.22
  4. Step 4: Simplify right side
    1,258.20x = 1,274,877.58
  5. Step 5: Solve for x
    x = 1,274,877.58/1,258.20
  6. Step 6: Final answer
    x = 1,013.26

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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.