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Finding the Fourth Proportional to 762.78, 1,142.15 and 519.78

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Solution

The fourth proportional to 762.78, 1,142.15 and 519.78 is: 778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.78 : 1,142.15 = 519.78 : x
  2. Step 2: Convert to fraction form
    762.78/1,142.15 = 519.78/x
  3. Step 3: Cross multiply
    762.78x = 1,142.15 × 519.78
  4. Step 4: Simplify right side
    762.78x = 593,664.13
  5. Step 5: Solve for x
    x = 593,664.13/762.78
  6. Step 6: Final answer
    x = 778.29

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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.