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Finding the Fourth Proportional to 519.83, 776.12 and 467.99

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Solution

The fourth proportional to 519.83, 776.12 and 467.99 is: 698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.83 : 776.12 = 467.99 : x
  2. Step 2: Convert to fraction form
    519.83/776.12 = 467.99/x
  3. Step 3: Cross multiply
    519.83x = 776.12 × 467.99
  4. Step 4: Simplify right side
    519.83x = 363,213.69
  5. Step 5: Solve for x
    x = 363,213.69/519.83
  6. Step 6: Final answer
    x = 698.72

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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.