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Finding the Fourth Proportional to 1,000, 1,500.12 and 512.80

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Solution

The fourth proportional to 1,000, 1,500.12 and 512.80 is: 769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000 : 1,500.12 = 512.80 : x
  2. Step 2: Convert to fraction form
    1,000/1,500.12 = 512.80/x
  3. Step 3: Cross multiply
    1,000x = 1,500.12 × 512.80
  4. Step 4: Simplify right side
    1,000x = 769,261.54
  5. Step 5: Solve for x
    x = 769,261.54/1,000
  6. Step 6: Final answer
    x = 769.26

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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.