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Finding the Fourth Proportional to 805.66, 1,111.80 and 739.54

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Solution

The fourth proportional to 805.66, 1,111.80 and 739.54 is: 1,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.66 : 1,111.80 = 739.54 : x
  2. Step 2: Convert to fraction form
    805.66/1,111.80 = 739.54/x
  3. Step 3: Cross multiply
    805.66x = 1,111.80 × 739.54
  4. Step 4: Simplify right side
    805.66x = 822,221.61
  5. Step 5: Solve for x
    x = 822,221.61/805.66
  6. Step 6: Final answer
    x = 1,020.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.