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Finding the Fourth Proportional to 512.84, 769.93 and 239.12

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Solution

The fourth proportional to 512.84, 769.93 and 239.12 is: 358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.84 : 769.93 = 239.12 : x
  2. Step 2: Convert to fraction form
    512.84/769.93 = 239.12/x
  3. Step 3: Cross multiply
    512.84x = 769.93 × 239.12
  4. Step 4: Simplify right side
    512.84x = 184,104.00
  5. Step 5: Solve for x
    x = 184,104.00/512.84
  6. Step 6: Final answer
    x = 358.99

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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.