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Finding the Fourth Proportional to 1,035.75, 1,429.89 and 849.72

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Solution

The fourth proportional to 1,035.75, 1,429.89 and 849.72 is: 1,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.75 : 1,429.89 = 849.72 : x
  2. Step 2: Convert to fraction form
    1,035.75/1,429.89 = 849.72/x
  3. Step 3: Cross multiply
    1,035.75x = 1,429.89 × 849.72
  4. Step 4: Simplify right side
    1,035.75x = 1,215,006.13
  5. Step 5: Solve for x
    x = 1,215,006.13/1,035.75
  6. Step 6: Final answer
    x = 1,173.07

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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.