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Finding the Fourth Proportional to 922.81, 1,383 and 512.14

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Solution

The fourth proportional to 922.81, 1,383 and 512.14 is: 767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.81 : 1,383 = 512.14 : x
  2. Step 2: Convert to fraction form
    922.81/1,383 = 512.14/x
  3. Step 3: Cross multiply
    922.81x = 1,383 × 512.14
  4. Step 4: Simplify right side
    922.81x = 708,289.62
  5. Step 5: Solve for x
    x = 708,289.62/922.81
  6. Step 6: Final answer
    x = 767.54

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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.