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Finding the Fourth Proportional to 1,033.84, 1,550.16 and 512.68

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Solution

The fourth proportional to 1,033.84, 1,550.16 and 512.68 is: 768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.84 : 1,550.16 = 512.68 : x
  2. Step 2: Convert to fraction form
    1,033.84/1,550.16 = 512.68/x
  3. Step 3: Cross multiply
    1,033.84x = 1,550.16 × 512.68
  4. Step 4: Simplify right side
    1,033.84x = 794,736.03
  5. Step 5: Solve for x
    x = 794,736.03/1,033.84
  6. Step 6: Final answer
    x = 768.72

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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.