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Finding the Fourth Proportional to 519.98, 780.75 and 447.64

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Solution

The fourth proportional to 519.98, 780.75 and 447.64 is: 672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.98 : 780.75 = 447.64 : x
  2. Step 2: Convert to fraction form
    519.98/780.75 = 447.64/x
  3. Step 3: Cross multiply
    519.98x = 780.75 × 447.64
  4. Step 4: Simplify right side
    519.98x = 349,492.98
  5. Step 5: Solve for x
    x = 349,492.98/519.98
  6. Step 6: Final answer
    x = 672.13

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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.