Home / 1,143.45-1,577.16-1,105.38

Finding the Fourth Proportional to 1,143.45, 1,577.16 and 1,105.38

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Solution

The fourth proportional to 1,143.45, 1,577.16 and 1,105.38 is: 1,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.45 : 1,577.16 = 1,105.38 : x
  2. Step 2: Convert to fraction form
    1,143.45/1,577.16 = 1,105.38/x
  3. Step 3: Cross multiply
    1,143.45x = 1,577.16 × 1,105.38
  4. Step 4: Simplify right side
    1,143.45x = 1,743,361.12
  5. Step 5: Solve for x
    x = 1,743,361.12/1,143.45
  6. Step 6: Final answer
    x = 1,524.65

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1.5x scale

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.