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Finding the Fourth Proportional to 741.42, 1,110.31 and 610.61

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Solution

The fourth proportional to 741.42, 1,110.31 and 610.61 is: 914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.42 : 1,110.31 = 610.61 : x
  2. Step 2: Convert to fraction form
    741.42/1,110.31 = 610.61/x
  3. Step 3: Cross multiply
    741.42x = 1,110.31 × 610.61
  4. Step 4: Simplify right side
    741.42x = 677,959.31
  5. Step 5: Solve for x
    x = 677,959.31/741.42
  6. Step 6: Final answer
    x = 914.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.