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Finding the Fourth Proportional to 1,009.36, 1,391.42 and 709.66

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Solution

The fourth proportional to 1,009.36, 1,391.42 and 709.66 is: 978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.36 : 1,391.42 = 709.66 : x
  2. Step 2: Convert to fraction form
    1,009.36/1,391.42 = 709.66/x
  3. Step 3: Cross multiply
    1,009.36x = 1,391.42 × 709.66
  4. Step 4: Simplify right side
    1,009.36x = 987,435.12
  5. Step 5: Solve for x
    x = 987,435.12/1,009.36
  6. Step 6: Final answer
    x = 978.28

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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.