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Finding the Fourth Proportional to 519.72, 779.57 and 304.66

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Solution

The fourth proportional to 519.72, 779.57 and 304.66 is: 456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 779.57 = 304.66 : x
  2. Step 2: Convert to fraction form
    519.72/779.57 = 304.66/x
  3. Step 3: Cross multiply
    519.72x = 779.57 × 304.66
  4. Step 4: Simplify right side
    519.72x = 237,506.10
  5. Step 5: Solve for x
    x = 237,506.10/519.72
  6. Step 6: Final answer
    x = 456.99

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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.