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Finding the Fourth Proportional to 1,081.64, 1,493.16 and 708.64

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Solution

The fourth proportional to 1,081.64, 1,493.16 and 708.64 is: 978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.64 : 1,493.16 = 708.64 : x
  2. Step 2: Convert to fraction form
    1,081.64/1,493.16 = 708.64/x
  3. Step 3: Cross multiply
    1,081.64x = 1,493.16 × 708.64
  4. Step 4: Simplify right side
    1,081.64x = 1,058,112.90
  5. Step 5: Solve for x
    x = 1,058,112.90/1,081.64
  6. Step 6: Final answer
    x = 978.25

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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.