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Finding the Fourth Proportional to 741.86, 1,112.63 and 279.66

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Solution

The fourth proportional to 741.86, 1,112.63 and 279.66 is: 419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.86 : 1,112.63 = 279.66 : x
  2. Step 2: Convert to fraction form
    741.86/1,112.63 = 279.66/x
  3. Step 3: Cross multiply
    741.86x = 1,112.63 × 279.66
  4. Step 4: Simplify right side
    741.86x = 311,152.54
  5. Step 5: Solve for x
    x = 311,152.54/741.86
  6. Step 6: Final answer
    x = 419.42

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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.