Home / 1,143.42-1,577.49-750.97

Finding the Fourth Proportional to 1,143.42, 1,577.49 and 750.97

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Solution

The fourth proportional to 1,143.42, 1,577.49 and 750.97 is: 1,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.42 : 1,577.49 = 750.97 : x
  2. Step 2: Convert to fraction form
    1,143.42/1,577.49 = 750.97/x
  3. Step 3: Cross multiply
    1,143.42x = 1,577.49 × 750.97
  4. Step 4: Simplify right side
    1,143.42x = 1,184,647.67
  5. Step 5: Solve for x
    x = 1,184,647.67/1,143.42
  6. Step 6: Final answer
    x = 1,036.06

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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.