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Finding the Fourth Proportional to 891.14, 1,228.62 and 610.89

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Solution

The fourth proportional to 891.14, 1,228.62 and 610.89 is: 842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.14 : 1,228.62 = 610.89 : x
  2. Step 2: Convert to fraction form
    891.14/1,228.62 = 610.89/x
  3. Step 3: Cross multiply
    891.14x = 1,228.62 × 610.89
  4. Step 4: Simplify right side
    891.14x = 750,551.67
  5. Step 5: Solve for x
    x = 750,551.67/891.14
  6. Step 6: Final answer
    x = 842.24

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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.