Home / 1,161.96-1,743.19-577.27

Finding the Fourth Proportional to 1,161.96, 1,743.19 and 577.27

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Solution

The fourth proportional to 1,161.96, 1,743.19 and 577.27 is: 866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.96 : 1,743.19 = 577.27 : x
  2. Step 2: Convert to fraction form
    1,161.96/1,743.19 = 577.27/x
  3. Step 3: Cross multiply
    1,161.96x = 1,743.19 × 577.27
  4. Step 4: Simplify right side
    1,161.96x = 1,006,292.03
  5. Step 5: Solve for x
    x = 1,006,292.03/1,161.96
  6. Step 6: Final answer
    x = 866.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.