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Finding the Fourth Proportional to 662.66, 912.78 and 629.86

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Solution

The fourth proportional to 662.66, 912.78 and 629.86 is: 867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.66 : 912.78 = 629.86 : x
  2. Step 2: Convert to fraction form
    662.66/912.78 = 629.86/x
  3. Step 3: Cross multiply
    662.66x = 912.78 × 629.86
  4. Step 4: Simplify right side
    662.66x = 574,923.61
  5. Step 5: Solve for x
    x = 574,923.61/662.66
  6. Step 6: Final answer
    x = 867.60

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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.