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Finding the Fourth Proportional to 519.01, 782.36 and 511.72

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Solution

The fourth proportional to 519.01, 782.36 and 511.72 is: 771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.01 : 782.36 = 511.72 : x
  2. Step 2: Convert to fraction form
    519.01/782.36 = 511.72/x
  3. Step 3: Cross multiply
    519.01x = 782.36 × 511.72
  4. Step 4: Simplify right side
    519.01x = 400,346.66
  5. Step 5: Solve for x
    x = 400,346.66/519.01
  6. Step 6: Final answer
    x = 771.37

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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.