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Finding the Fourth Proportional to 1,003.29, 1,381.97 and 708.04

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Solution

The fourth proportional to 1,003.29, 1,381.97 and 708.04 is: 975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.29 : 1,381.97 = 708.04 : x
  2. Step 2: Convert to fraction form
    1,003.29/1,381.97 = 708.04/x
  3. Step 3: Cross multiply
    1,003.29x = 1,381.97 × 708.04
  4. Step 4: Simplify right side
    1,003.29x = 978,490.04
  5. Step 5: Solve for x
    x = 978,490.04/1,003.29
  6. Step 6: Final answer
    x = 975.28

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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.