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Finding the Fourth Proportional to 891.54, 1,230.66 and 629.82

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Solution

The fourth proportional to 891.54, 1,230.66 and 629.82 is: 869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.54 : 1,230.66 = 629.82 : x
  2. Step 2: Convert to fraction form
    891.54/1,230.66 = 629.82/x
  3. Step 3: Cross multiply
    891.54x = 1,230.66 × 629.82
  4. Step 4: Simplify right side
    891.54x = 775,094.28
  5. Step 5: Solve for x
    x = 775,094.28/891.54
  6. Step 6: Final answer
    x = 869.39

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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.