Home / 1,577.28-2,176.86-905.29

Finding the Fourth Proportional to 1,577.28, 2,176.86 and 905.29

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Solution

The fourth proportional to 1,577.28, 2,176.86 and 905.29 is: 1,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.28 : 2,176.86 = 905.29 : x
  2. Step 2: Convert to fraction form
    1,577.28/2,176.86 = 905.29/x
  3. Step 3: Cross multiply
    1,577.28x = 2,176.86 × 905.29
  4. Step 4: Simplify right side
    1,577.28x = 1,970,689.59
  5. Step 5: Solve for x
    x = 1,970,689.59/1,577.28
  6. Step 6: Final answer
    x = 1,249.43

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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.