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Finding the Fourth Proportional to 937.77, 1,291.26 and 849.87

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Solution

The fourth proportional to 937.77, 1,291.26 and 849.87 is: 1,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.77 : 1,291.26 = 849.87 : x
  2. Step 2: Convert to fraction form
    937.77/1,291.26 = 849.87/x
  3. Step 3: Cross multiply
    937.77x = 1,291.26 × 849.87
  4. Step 4: Simplify right side
    937.77x = 1,097,403.14
  5. Step 5: Solve for x
    x = 1,097,403.14/937.77
  6. Step 6: Final answer
    x = 1,170.23

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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.