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Finding the Fourth Proportional to 1,333.75, 2,000.64 and 512.06

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Solution

The fourth proportional to 1,333.75, 2,000.64 and 512.06 is: 768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.75 : 2,000.64 = 512.06 : x
  2. Step 2: Convert to fraction form
    1,333.75/2,000.64 = 512.06/x
  3. Step 3: Cross multiply
    1,333.75x = 2,000.64 × 512.06
  4. Step 4: Simplify right side
    1,333.75x = 1,024,447.72
  5. Step 5: Solve for x
    x = 1,024,447.72/1,333.75
  6. Step 6: Final answer
    x = 768.10

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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.