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Finding the Fourth Proportional to 519.40, 780.12 and 442.48

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Solution

The fourth proportional to 519.40, 780.12 and 442.48 is: 664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.40 : 780.12 = 442.48 : x
  2. Step 2: Convert to fraction form
    519.40/780.12 = 442.48/x
  3. Step 3: Cross multiply
    519.40x = 780.12 × 442.48
  4. Step 4: Simplify right side
    519.40x = 345,187.50
  5. Step 5: Solve for x
    x = 345,187.50/519.40
  6. Step 6: Final answer
    x = 664.59

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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.