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Finding the Fourth Proportional to 933.39, 1,285.79 and 785.97

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Solution

The fourth proportional to 933.39, 1,285.79 and 785.97 is: 1,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.39 : 1,285.79 = 785.97 : x
  2. Step 2: Convert to fraction form
    933.39/1,285.79 = 785.97/x
  3. Step 3: Cross multiply
    933.39x = 1,285.79 × 785.97
  4. Step 4: Simplify right side
    933.39x = 1,010,588.44
  5. Step 5: Solve for x
    x = 1,010,588.44/933.39
  6. Step 6: Final answer
    x = 1,082.71

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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.