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Finding the Fourth Proportional to 741.75, 1,112.49 and 279.57

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Solution

The fourth proportional to 741.75, 1,112.49 and 279.57 is: 419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.75 : 1,112.49 = 279.57 : x
  2. Step 2: Convert to fraction form
    741.75/1,112.49 = 279.57/x
  3. Step 3: Cross multiply
    741.75x = 1,112.49 × 279.57
  4. Step 4: Simplify right side
    741.75x = 311,018.83
  5. Step 5: Solve for x
    x = 311,018.83/741.75
  6. Step 6: Final answer
    x = 419.30

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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.