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Finding the Fourth Proportional to 2,005.13, 3,007.89 and 772.67

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Solution

The fourth proportional to 2,005.13, 3,007.89 and 772.67 is: 1,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.13 : 3,007.89 = 772.67 : x
  2. Step 2: Convert to fraction form
    2,005.13/3,007.89 = 772.67/x
  3. Step 3: Cross multiply
    2,005.13x = 3,007.89 × 772.67
  4. Step 4: Simplify right side
    2,005.13x = 2,324,091.33
  5. Step 5: Solve for x
    x = 2,324,091.33/2,005.13
  6. Step 6: Final answer
    x = 1,159.08

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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.