Home / 1,119.17-1,546.43-805.47

Finding the Fourth Proportional to 1,119.17, 1,546.43 and 805.47

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Solution

The fourth proportional to 1,119.17, 1,546.43 and 805.47 is: 1,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.17 : 1,546.43 = 805.47 : x
  2. Step 2: Convert to fraction form
    1,119.17/1,546.43 = 805.47/x
  3. Step 3: Cross multiply
    1,119.17x = 1,546.43 × 805.47
  4. Step 4: Simplify right side
    1,119.17x = 1,245,598.94
  5. Step 5: Solve for x
    x = 1,245,598.94/1,119.17
  6. Step 6: Final answer
    x = 1,112.97

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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.