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Finding the Fourth Proportional to 891.08, 1,228.53 and 610.82

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Solution

The fourth proportional to 891.08, 1,228.53 and 610.82 is: 842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.08 : 1,228.53 = 610.82 : x
  2. Step 2: Convert to fraction form
    891.08/1,228.53 = 610.82/x
  3. Step 3: Cross multiply
    891.08x = 1,228.53 × 610.82
  4. Step 4: Simplify right side
    891.08x = 750,404.55
  5. Step 5: Solve for x
    x = 750,404.55/891.08
  6. Step 6: Final answer
    x = 842.13

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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.