Home / 1,161.96-1,743.84-614.31

Finding the Fourth Proportional to 1,161.96, 1,743.84 and 614.31

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Solution

The fourth proportional to 1,161.96, 1,743.84 and 614.31 is: 921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.96 : 1,743.84 = 614.31 : x
  2. Step 2: Convert to fraction form
    1,161.96/1,743.84 = 614.31/x
  3. Step 3: Cross multiply
    1,161.96x = 1,743.84 × 614.31
  4. Step 4: Simplify right side
    1,161.96x = 1,071,258.35
  5. Step 5: Solve for x
    x = 1,071,258.35/1,161.96
  6. Step 6: Final answer
    x = 921.94

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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.