Home / 1,161.73-1,742.58-296.05

Finding the Fourth Proportional to 1,161.73, 1,742.58 and 296.05

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Solution

The fourth proportional to 1,161.73, 1,742.58 and 296.05 is: 444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.73 : 1,742.58 = 296.05 : x
  2. Step 2: Convert to fraction form
    1,161.73/1,742.58 = 296.05/x
  3. Step 3: Cross multiply
    1,161.73x = 1,742.58 × 296.05
  4. Step 4: Simplify right side
    1,161.73x = 515,890.81
  5. Step 5: Solve for x
    x = 515,890.81/1,161.73
  6. Step 6: Final answer
    x = 444.07

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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.