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Finding the Fourth Proportional to 1,035.78, 1,426.41 and 849.93

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Solution

The fourth proportional to 1,035.78, 1,426.41 and 849.93 is: 1,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.78 : 1,426.41 = 849.93 : x
  2. Step 2: Convert to fraction form
    1,035.78/1,426.41 = 849.93/x
  3. Step 3: Cross multiply
    1,035.78x = 1,426.41 × 849.93
  4. Step 4: Simplify right side
    1,035.78x = 1,212,348.65
  5. Step 5: Solve for x
    x = 1,212,348.65/1,035.78
  6. Step 6: Final answer
    x = 1,170.47

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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.