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Finding the Fourth Proportional to 519.09, 714.74 and 445.11

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Solution

The fourth proportional to 519.09, 714.74 and 445.11 is: 612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.09 : 714.74 = 445.11 : x
  2. Step 2: Convert to fraction form
    519.09/714.74 = 445.11/x
  3. Step 3: Cross multiply
    519.09x = 714.74 × 445.11
  4. Step 4: Simplify right side
    519.09x = 318,135.70
  5. Step 5: Solve for x
    x = 318,135.70/519.09
  6. Step 6: Final answer
    x = 612.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.