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Finding the Fourth Proportional to 664.53, 921.23 and 629.40

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Solution

The fourth proportional to 664.53, 921.23 and 629.40 is: 872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.53 : 921.23 = 629.40 : x
  2. Step 2: Convert to fraction form
    664.53/921.23 = 629.40/x
  3. Step 3: Cross multiply
    664.53x = 921.23 × 629.40
  4. Step 4: Simplify right side
    664.53x = 579,823.74
  5. Step 5: Solve for x
    x = 579,823.74/664.53
  6. Step 6: Final answer
    x = 872.53

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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.