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Finding the Fourth Proportional to 1,129.21, 1,693 and 512.61

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Solution

The fourth proportional to 1,129.21, 1,693 and 512.61 is: 768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.21 : 1,693 = 512.61 : x
  2. Step 2: Convert to fraction form
    1,129.21/1,693 = 512.61/x
  3. Step 3: Cross multiply
    1,129.21x = 1,693 × 512.61
  4. Step 4: Simplify right side
    1,129.21x = 867,848.73
  5. Step 5: Solve for x
    x = 867,848.73/1,129.21
  6. Step 6: Final answer
    x = 768.55

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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.