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Finding the Fourth Proportional to 1,256.63, 1,734.34 and 1,201.26

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Solution

The fourth proportional to 1,256.63, 1,734.34 and 1,201.26 is: 1,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.63 : 1,734.34 = 1,201.26 : x
  2. Step 2: Convert to fraction form
    1,256.63/1,734.34 = 1,201.26/x
  3. Step 3: Cross multiply
    1,256.63x = 1,734.34 × 1,201.26
  4. Step 4: Simplify right side
    1,256.63x = 2,083,384.60
  5. Step 5: Solve for x
    x = 2,083,384.60/1,256.63
  6. Step 6: Final answer
    x = 1,657.92

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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.