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Finding the Fourth Proportional to 879.82, 1,313.49 and 782.62

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Solution

The fourth proportional to 879.82, 1,313.49 and 782.62 is: 1,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.82 : 1,313.49 = 782.62 : x
  2. Step 2: Convert to fraction form
    879.82/1,313.49 = 782.62/x
  3. Step 3: Cross multiply
    879.82x = 1,313.49 × 782.62
  4. Step 4: Simplify right side
    879.82x = 1,027,963.54
  5. Step 5: Solve for x
    x = 1,027,963.54/879.82
  6. Step 6: Final answer
    x = 1,168.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.