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Finding the Fourth Proportional to 1,086.07, 1,497.03 and 849.61

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Solution

The fourth proportional to 1,086.07, 1,497.03 and 849.61 is: 1,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.07 : 1,497.03 = 849.61 : x
  2. Step 2: Convert to fraction form
    1,086.07/1,497.03 = 849.61/x
  3. Step 3: Cross multiply
    1,086.07x = 1,497.03 × 849.61
  4. Step 4: Simplify right side
    1,086.07x = 1,271,891.66
  5. Step 5: Solve for x
    x = 1,271,891.66/1,086.07
  6. Step 6: Final answer
    x = 1,171.10

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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.