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Finding the Fourth Proportional to 557.92, 770.24 and 447.20

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Solution

The fourth proportional to 557.92, 770.24 and 447.20 is: 617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.92 : 770.24 = 447.20 : x
  2. Step 2: Convert to fraction form
    557.92/770.24 = 447.20/x
  3. Step 3: Cross multiply
    557.92x = 770.24 × 447.20
  4. Step 4: Simplify right side
    557.92x = 344,451.33
  5. Step 5: Solve for x
    x = 344,451.33/557.92
  6. Step 6: Final answer
    x = 617.38

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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.