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Finding the Fourth Proportional to 739.91, 1,109.87 and 349.67

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Solution

The fourth proportional to 739.91, 1,109.87 and 349.67 is: 524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.91 : 1,109.87 = 349.67 : x
  2. Step 2: Convert to fraction form
    739.91/1,109.87 = 349.67/x
  3. Step 3: Cross multiply
    739.91x = 1,109.87 × 349.67
  4. Step 4: Simplify right side
    739.91x = 388,088.24
  5. Step 5: Solve for x
    x = 388,088.24/739.91
  6. Step 6: Final answer
    x = 524.51

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Double scale
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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.