Home / 1,161.92-1,743.54-614.60

Finding the Fourth Proportional to 1,161.92, 1,743.54 and 614.60

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Solution

The fourth proportional to 1,161.92, 1,743.54 and 614.60 is: 922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.92 : 1,743.54 = 614.60 : x
  2. Step 2: Convert to fraction form
    1,161.92/1,743.54 = 614.60/x
  3. Step 3: Cross multiply
    1,161.92x = 1,743.54 × 614.60
  4. Step 4: Simplify right side
    1,161.92x = 1,071,579.68
  5. Step 5: Solve for x
    x = 1,071,579.68/1,161.92
  6. Step 6: Final answer
    x = 922.25

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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.