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Finding the Fourth Proportional to 816.77, 1,126.38 and 629.97

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Solution

The fourth proportional to 816.77, 1,126.38 and 629.97 is: 868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.77 : 1,126.38 = 629.97 : x
  2. Step 2: Convert to fraction form
    816.77/1,126.38 = 629.97/x
  3. Step 3: Cross multiply
    816.77x = 1,126.38 × 629.97
  4. Step 4: Simplify right side
    816.77x = 709,585.61
  5. Step 5: Solve for x
    x = 709,585.61/816.77
  6. Step 6: Final answer
    x = 868.77

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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.