Home / 1,083.20-1,493.60-734.08

Finding the Fourth Proportional to 1,083.20, 1,493.60 and 734.08

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Solution

The fourth proportional to 1,083.20, 1,493.60 and 734.08 is: 1,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.20 : 1,493.60 = 734.08 : x
  2. Step 2: Convert to fraction form
    1,083.20/1,493.60 = 734.08/x
  3. Step 3: Cross multiply
    1,083.20x = 1,493.60 × 734.08
  4. Step 4: Simplify right side
    1,083.20x = 1,096,421.89
  5. Step 5: Solve for x
    x = 1,096,421.89/1,083.20
  6. Step 6: Final answer
    x = 1,012.21

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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.