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Finding the Fourth Proportional to 2,383.69, 3,575.91 and 739.85

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Solution

The fourth proportional to 2,383.69, 3,575.91 and 739.85 is: 1,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.69 : 3,575.91 = 739.85 : x
  2. Step 2: Convert to fraction form
    2,383.69/3,575.91 = 739.85/x
  3. Step 3: Cross multiply
    2,383.69x = 3,575.91 × 739.85
  4. Step 4: Simplify right side
    2,383.69x = 2,645,637.01
  5. Step 5: Solve for x
    x = 2,645,637.01/2,383.69
  6. Step 6: Final answer
    x = 1,109.89

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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.