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Finding the Fourth Proportional to 668.54, 920.57 and 629.57

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Solution

The fourth proportional to 668.54, 920.57 and 629.57 is: 866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.54 : 920.57 = 629.57 : x
  2. Step 2: Convert to fraction form
    668.54/920.57 = 629.57/x
  3. Step 3: Cross multiply
    668.54x = 920.57 × 629.57
  4. Step 4: Simplify right side
    668.54x = 579,563.25
  5. Step 5: Solve for x
    x = 579,563.25/668.54
  6. Step 6: Final answer
    x = 866.91

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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.