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Finding the Fourth Proportional to 1,199.75, 1,656.47 and 849.83

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Solution

The fourth proportional to 1,199.75, 1,656.47 and 849.83 is: 1,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.75 : 1,656.47 = 849.83 : x
  2. Step 2: Convert to fraction form
    1,199.75/1,656.47 = 849.83/x
  3. Step 3: Cross multiply
    1,199.75x = 1,656.47 × 849.83
  4. Step 4: Simplify right side
    1,199.75x = 1,407,717.90
  5. Step 5: Solve for x
    x = 1,407,717.90/1,199.75
  6. Step 6: Final answer
    x = 1,173.34

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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.