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Finding the Fourth Proportional to 1,007.67, 1,391.22 and 728.81

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Solution

The fourth proportional to 1,007.67, 1,391.22 and 728.81 is: 1,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.67 : 1,391.22 = 728.81 : x
  2. Step 2: Convert to fraction form
    1,007.67/1,391.22 = 728.81/x
  3. Step 3: Cross multiply
    1,007.67x = 1,391.22 × 728.81
  4. Step 4: Simplify right side
    1,007.67x = 1,013,928.09
  5. Step 5: Solve for x
    x = 1,013,928.09/1,007.67
  6. Step 6: Final answer
    x = 1,006.21

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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.