Home / 1,192.17-1,788.38-314.69

Finding the Fourth Proportional to 1,192.17, 1,788.38 and 314.69

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Solution

The fourth proportional to 1,192.17, 1,788.38 and 314.69 is: 472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.17 : 1,788.38 = 314.69 : x
  2. Step 2: Convert to fraction form
    1,192.17/1,788.38 = 314.69/x
  3. Step 3: Cross multiply
    1,192.17x = 1,788.38 × 314.69
  4. Step 4: Simplify right side
    1,192.17x = 562,775.97
  5. Step 5: Solve for x
    x = 562,775.97/1,192.17
  6. Step 6: Final answer
    x = 472.06

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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.