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Finding the Fourth Proportional to 762.54, 1,142.46 and 519.54

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Solution

The fourth proportional to 762.54, 1,142.46 and 519.54 is: 778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.54 : 1,142.46 = 519.54 : x
  2. Step 2: Convert to fraction form
    762.54/1,142.46 = 519.54/x
  3. Step 3: Cross multiply
    762.54x = 1,142.46 × 519.54
  4. Step 4: Simplify right side
    762.54x = 593,553.67
  5. Step 5: Solve for x
    x = 593,553.67/762.54
  6. Step 6: Final answer
    x = 778.39

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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.