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Finding the Fourth Proportional to 519.91, 783.68 and 512.62

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Solution

The fourth proportional to 519.91, 783.68 and 512.62 is: 772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.91 : 783.68 = 512.62 : x
  2. Step 2: Convert to fraction form
    519.91/783.68 = 512.62/x
  3. Step 3: Cross multiply
    519.91x = 783.68 × 512.62
  4. Step 4: Simplify right side
    519.91x = 401,730.04
  5. Step 5: Solve for x
    x = 401,730.04/519.91
  6. Step 6: Final answer
    x = 772.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.