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Finding the Fourth Proportional to 923.36, 1,383.72 and 512.56

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Solution

The fourth proportional to 923.36, 1,383.72 and 512.56 is: 768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.36 : 1,383.72 = 512.56 : x
  2. Step 2: Convert to fraction form
    923.36/1,383.72 = 512.56/x
  3. Step 3: Cross multiply
    923.36x = 1,383.72 × 512.56
  4. Step 4: Simplify right side
    923.36x = 709,239.52
  5. Step 5: Solve for x
    x = 709,239.52/923.36
  6. Step 6: Final answer
    x = 768.11

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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.