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Finding the Fourth Proportional to 452.96, 620.80 and 447.20

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Solution

The fourth proportional to 452.96, 620.80 and 447.20 is: 612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.96 : 620.80 = 447.20 : x
  2. Step 2: Convert to fraction form
    452.96/620.80 = 447.20/x
  3. Step 3: Cross multiply
    452.96x = 620.80 × 447.20
  4. Step 4: Simplify right side
    452.96x = 277,621.76
  5. Step 5: Solve for x
    x = 277,621.76/452.96
  6. Step 6: Final answer
    x = 612.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.