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Finding the Fourth Proportional to 929.33, 1,391.79 and 806.93

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Solution

The fourth proportional to 929.33, 1,391.79 and 806.93 is: 1,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.33 : 1,391.79 = 806.93 : x
  2. Step 2: Convert to fraction form
    929.33/1,391.79 = 806.93/x
  3. Step 3: Cross multiply
    929.33x = 1,391.79 × 806.93
  4. Step 4: Simplify right side
    929.33x = 1,123,072.16
  5. Step 5: Solve for x
    x = 1,123,072.16/929.33
  6. Step 6: Final answer
    x = 1,208.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.