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Finding the Fourth Proportional to 520.65, 782.19 and 447.75

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Solution

The fourth proportional to 520.65, 782.19 and 447.75 is: 672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.65 : 782.19 = 447.75 : x
  2. Step 2: Convert to fraction form
    520.65/782.19 = 447.75/x
  3. Step 3: Cross multiply
    520.65x = 782.19 × 447.75
  4. Step 4: Simplify right side
    520.65x = 350,219.42
  5. Step 5: Solve for x
    x = 350,219.42/520.65
  6. Step 6: Final answer
    x = 672.66

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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.