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Finding the Fourth Proportional to 838.67, 1,156.67 and 629.31

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Solution

The fourth proportional to 838.67, 1,156.67 and 629.31 is: 867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.67 : 1,156.67 = 629.31 : x
  2. Step 2: Convert to fraction form
    838.67/1,156.67 = 629.31/x
  3. Step 3: Cross multiply
    838.67x = 1,156.67 × 629.31
  4. Step 4: Simplify right side
    838.67x = 727,900.85
  5. Step 5: Solve for x
    x = 727,900.85/838.67
  6. Step 6: Final answer
    x = 867.92

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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.