Home / 1,206.20-1,664.29-734.35

Finding the Fourth Proportional to 1,206.20, 1,664.29 and 734.35

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Solution

The fourth proportional to 1,206.20, 1,664.29 and 734.35 is: 1,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.20 : 1,664.29 = 734.35 : x
  2. Step 2: Convert to fraction form
    1,206.20/1,664.29 = 734.35/x
  3. Step 3: Cross multiply
    1,206.20x = 1,664.29 × 734.35
  4. Step 4: Simplify right side
    1,206.20x = 1,222,163.04
  5. Step 5: Solve for x
    x = 1,222,163.04/1,206.20
  6. Step 6: Final answer
    x = 1,013.23

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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.