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Finding the Fourth Proportional to 629.78, 945.18 and 456.52

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Solution

The fourth proportional to 629.78, 945.18 and 456.52 is: 685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.78 : 945.18 = 456.52 : x
  2. Step 2: Convert to fraction form
    629.78/945.18 = 456.52/x
  3. Step 3: Cross multiply
    629.78x = 945.18 × 456.52
  4. Step 4: Simplify right side
    629.78x = 431,493.57
  5. Step 5: Solve for x
    x = 431,493.57/629.78
  6. Step 6: Final answer
    x = 685.15

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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.