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Finding the Fourth Proportional to 923.89, 1,382.35 and 513.33

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Solution

The fourth proportional to 923.89, 1,382.35 and 513.33 is: 768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.89 : 1,382.35 = 513.33 : x
  2. Step 2: Convert to fraction form
    923.89/1,382.35 = 513.33/x
  3. Step 3: Cross multiply
    923.89x = 1,382.35 × 513.33
  4. Step 4: Simplify right side
    923.89x = 709,601.73
  5. Step 5: Solve for x
    x = 709,601.73/923.89
  6. Step 6: Final answer
    x = 768.06

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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.