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Finding the Fourth Proportional to 519.18, 772.64 and 496.14

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Solution

The fourth proportional to 519.18, 772.64 and 496.14 is: 738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.18 : 772.64 = 496.14 : x
  2. Step 2: Convert to fraction form
    519.18/772.64 = 496.14/x
  3. Step 3: Cross multiply
    519.18x = 772.64 × 496.14
  4. Step 4: Simplify right side
    519.18x = 383,335.13
  5. Step 5: Solve for x
    x = 383,335.13/519.18
  6. Step 6: Final answer
    x = 738.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.