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Finding the Fourth Proportional to 741.44, 1,111.98 and 447.86

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Solution

The fourth proportional to 741.44, 1,111.98 and 447.86 is: 671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.44 : 1,111.98 = 447.86 : x
  2. Step 2: Convert to fraction form
    741.44/1,111.98 = 447.86/x
  3. Step 3: Cross multiply
    741.44x = 1,111.98 × 447.86
  4. Step 4: Simplify right side
    741.44x = 498,011.36
  5. Step 5: Solve for x
    x = 498,011.36/741.44
  6. Step 6: Final answer
    x = 671.68

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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.