Home / 1,602.29-2,400.60-734.78

Finding the Fourth Proportional to 1,602.29, 2,400.60 and 734.78

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Solution

The fourth proportional to 1,602.29, 2,400.60 and 734.78 is: 1,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.29 : 2,400.60 = 734.78 : x
  2. Step 2: Convert to fraction form
    1,602.29/2,400.60 = 734.78/x
  3. Step 3: Cross multiply
    1,602.29x = 2,400.60 × 734.78
  4. Step 4: Simplify right side
    1,602.29x = 1,763,912.87
  5. Step 5: Solve for x
    x = 1,763,912.87/1,602.29
  6. Step 6: Final answer
    x = 1,100.87

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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.