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Finding the Fourth Proportional to 741.86, 1,105.02 and 704.42

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Solution

The fourth proportional to 741.86, 1,105.02 and 704.42 is: 1,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.86 : 1,105.02 = 704.42 : x
  2. Step 2: Convert to fraction form
    741.86/1,105.02 = 704.42/x
  3. Step 3: Cross multiply
    741.86x = 1,105.02 × 704.42
  4. Step 4: Simplify right side
    741.86x = 778,398.19
  5. Step 5: Solve for x
    x = 778,398.19/741.86
  6. Step 6: Final answer
    x = 1,049.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.