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Finding the Fourth Proportional to 665.42, 999.03 and 519.62

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Solution

The fourth proportional to 665.42, 999.03 and 519.62 is: 780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.42 : 999.03 = 519.62 : x
  2. Step 2: Convert to fraction form
    665.42/999.03 = 519.62/x
  3. Step 3: Cross multiply
    665.42x = 999.03 × 519.62
  4. Step 4: Simplify right side
    665.42x = 519,115.97
  5. Step 5: Solve for x
    x = 519,115.97/665.42
  6. Step 6: Final answer
    x = 780.13

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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.