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Finding the Fourth Proportional to 779.92, 1,076.82 and 518.32

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Solution

The fourth proportional to 779.92, 1,076.82 and 518.32 is: 715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.92 : 1,076.82 = 518.32 : x
  2. Step 2: Convert to fraction form
    779.92/1,076.82 = 518.32/x
  3. Step 3: Cross multiply
    779.92x = 1,076.82 × 518.32
  4. Step 4: Simplify right side
    779.92x = 558,137.34
  5. Step 5: Solve for x
    x = 558,137.34/779.92
  6. Step 6: Final answer
    x = 715.63

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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.