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Finding the Fourth Proportional to 920.89, 1,269.16 and 754.57

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Solution

The fourth proportional to 920.89, 1,269.16 and 754.57 is: 1,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.89 : 1,269.16 = 754.57 : x
  2. Step 2: Convert to fraction form
    920.89/1,269.16 = 754.57/x
  3. Step 3: Cross multiply
    920.89x = 1,269.16 × 754.57
  4. Step 4: Simplify right side
    920.89x = 957,670.06
  5. Step 5: Solve for x
    x = 957,670.06/920.89
  6. Step 6: Final answer
    x = 1,039.94

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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.