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Finding the Fourth Proportional to 1,199.82, 1,656.06 and 781.22

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Solution

The fourth proportional to 1,199.82, 1,656.06 and 781.22 is: 1,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.82 : 1,656.06 = 781.22 : x
  2. Step 2: Convert to fraction form
    1,199.82/1,656.06 = 781.22/x
  3. Step 3: Cross multiply
    1,199.82x = 1,656.06 × 781.22
  4. Step 4: Simplify right side
    1,199.82x = 1,293,735.98
  5. Step 5: Solve for x
    x = 1,293,735.98/1,199.82
  6. Step 6: Final answer
    x = 1,078.28

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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.