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Finding the Fourth Proportional to 1,007.81, 1,391.42 and 821.75

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Solution

The fourth proportional to 1,007.81, 1,391.42 and 821.75 is: 1,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.81 : 1,391.42 = 821.75 : x
  2. Step 2: Convert to fraction form
    1,007.81/1,391.42 = 821.75/x
  3. Step 3: Cross multiply
    1,007.81x = 1,391.42 × 821.75
  4. Step 4: Simplify right side
    1,007.81x = 1,143,388.32
  5. Step 5: Solve for x
    x = 1,143,388.32/1,007.81
  6. Step 6: Final answer
    x = 1,134.53

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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.