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Finding the Fourth Proportional to 739.11, 1,019.68 and 645.86

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Solution

The fourth proportional to 739.11, 1,019.68 and 645.86 is: 891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.11 : 1,019.68 = 645.86 : x
  2. Step 2: Convert to fraction form
    739.11/1,019.68 = 645.86/x
  3. Step 3: Cross multiply
    739.11x = 1,019.68 × 645.86
  4. Step 4: Simplify right side
    739.11x = 658,570.52
  5. Step 5: Solve for x
    x = 658,570.52/739.11
  6. Step 6: Final answer
    x = 891.03

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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.