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Finding the Fourth Proportional to 739.85, 1,108.91 and 556.65

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Solution

The fourth proportional to 739.85, 1,108.91 and 556.65 is: 834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.85 : 1,108.91 = 556.65 : x
  2. Step 2: Convert to fraction form
    739.85/1,108.91 = 556.65/x
  3. Step 3: Cross multiply
    739.85x = 1,108.91 × 556.65
  4. Step 4: Simplify right side
    739.85x = 617,271.97
  5. Step 5: Solve for x
    x = 617,271.97/739.85
  6. Step 6: Final answer
    x = 834.33

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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.