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Finding the Fourth Proportional to 460.86, 638.73 and 452.22

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Solution

The fourth proportional to 460.86, 638.73 and 452.22 is: 626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.86 : 638.73 = 452.22 : x
  2. Step 2: Convert to fraction form
    460.86/638.73 = 452.22/x
  3. Step 3: Cross multiply
    460.86x = 638.73 × 452.22
  4. Step 4: Simplify right side
    460.86x = 288,846.48
  5. Step 5: Solve for x
    x = 288,846.48/460.86
  6. Step 6: Final answer
    x = 626.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.