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Finding the Fourth Proportional to 565.30, 779.91 and 447.31

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Solution

The fourth proportional to 565.30, 779.91 and 447.31 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.30 : 779.91 = 447.31 : x
  2. Step 2: Convert to fraction form
    565.30/779.91 = 447.31/x
  3. Step 3: Cross multiply
    565.30x = 779.91 × 447.31
  4. Step 4: Simplify right side
    565.30x = 348,861.54
  5. Step 5: Solve for x
    x = 348,861.54/565.30
  6. Step 6: Final answer
    x = 617.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.