Home / 1,398.43-1,929.85-768.94

Finding the Fourth Proportional to 1,398.43, 1,929.85 and 768.94

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Solution

The fourth proportional to 1,398.43, 1,929.85 and 768.94 is: 1,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.43 : 1,929.85 = 768.94 : x
  2. Step 2: Convert to fraction form
    1,398.43/1,929.85 = 768.94/x
  3. Step 3: Cross multiply
    1,398.43x = 1,929.85 × 768.94
  4. Step 4: Simplify right side
    1,398.43x = 1,483,942.97
  5. Step 5: Solve for x
    x = 1,483,942.97/1,398.43
  6. Step 6: Final answer
    x = 1,061.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.