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Finding the Fourth Proportional to 519.32, 777.45 and 398.99

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Solution

The fourth proportional to 519.32, 777.45 and 398.99 is: 597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 777.45 = 398.99 : x
  2. Step 2: Convert to fraction form
    519.32/777.45 = 398.99/x
  3. Step 3: Cross multiply
    519.32x = 777.45 × 398.99
  4. Step 4: Simplify right side
    519.32x = 310,194.78
  5. Step 5: Solve for x
    x = 310,194.78/519.32
  6. Step 6: Final answer
    x = 597.31

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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.