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Finding the Fourth Proportional to 1,003.78, 1,381.48 and 708.54

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Solution

The fourth proportional to 1,003.78, 1,381.48 and 708.54 is: 975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.78 : 1,381.48 = 708.54 : x
  2. Step 2: Convert to fraction form
    1,003.78/1,381.48 = 708.54/x
  3. Step 3: Cross multiply
    1,003.78x = 1,381.48 × 708.54
  4. Step 4: Simplify right side
    1,003.78x = 978,833.84
  5. Step 5: Solve for x
    x = 978,833.84/1,003.78
  6. Step 6: Final answer
    x = 975.15

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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.