Home / 1,192.71-1,788.66-401.90

Finding the Fourth Proportional to 1,192.71, 1,788.66 and 401.90

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Solution

The fourth proportional to 1,192.71, 1,788.66 and 401.90 is: 602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.71 : 1,788.66 = 401.90 : x
  2. Step 2: Convert to fraction form
    1,192.71/1,788.66 = 401.90/x
  3. Step 3: Cross multiply
    1,192.71x = 1,788.66 × 401.90
  4. Step 4: Simplify right side
    1,192.71x = 718,862.45
  5. Step 5: Solve for x
    x = 718,862.45/1,192.71
  6. Step 6: Final answer
    x = 602.71

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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.