Home / 1,577.73-2,177.47-905.80

Finding the Fourth Proportional to 1,577.73, 2,177.47 and 905.80

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Solution

The fourth proportional to 1,577.73, 2,177.47 and 905.80 is: 1,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.73 : 2,177.47 = 905.80 : x
  2. Step 2: Convert to fraction form
    1,577.73/2,177.47 = 905.80/x
  3. Step 3: Cross multiply
    1,577.73x = 2,177.47 × 905.80
  4. Step 4: Simplify right side
    1,577.73x = 1,972,341.44
  5. Step 5: Solve for x
    x = 1,972,341.44/1,577.73
  6. Step 6: Final answer
    x = 1,250.12

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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.