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Finding the Fourth Proportional to 741.56, 1,112.10 and 412.65

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Solution

The fourth proportional to 741.56, 1,112.10 and 412.65 is: 618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.56 : 1,112.10 = 412.65 : x
  2. Step 2: Convert to fraction form
    741.56/1,112.10 = 412.65/x
  3. Step 3: Cross multiply
    741.56x = 1,112.10 × 412.65
  4. Step 4: Simplify right side
    741.56x = 458,906.52
  5. Step 5: Solve for x
    x = 458,906.52/741.56
  6. Step 6: Final answer
    x = 618.84

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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.