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Finding the Fourth Proportional to 918.07, 1,370.44 and 850.49

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Solution

The fourth proportional to 918.07, 1,370.44 and 850.49 is: 1,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.07 : 1,370.44 = 850.49 : x
  2. Step 2: Convert to fraction form
    918.07/1,370.44 = 850.49/x
  3. Step 3: Cross multiply
    918.07x = 1,370.44 × 850.49
  4. Step 4: Simplify right side
    918.07x = 1,165,545.52
  5. Step 5: Solve for x
    x = 1,165,545.52/918.07
  6. Step 6: Final answer
    x = 1,269.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.