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Finding the Fourth Proportional to 1,003.56, 1,385.26 and 708.98

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Solution

The fourth proportional to 1,003.56, 1,385.26 and 708.98 is: 978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.56 : 1,385.26 = 708.98 : x
  2. Step 2: Convert to fraction form
    1,003.56/1,385.26 = 708.98/x
  3. Step 3: Cross multiply
    1,003.56x = 1,385.26 × 708.98
  4. Step 4: Simplify right side
    1,003.56x = 982,121.63
  5. Step 5: Solve for x
    x = 982,121.63/1,003.56
  6. Step 6: Final answer
    x = 978.64

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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.