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Finding the Fourth Proportional to 1,333.34, 1,999.92 and 511.55

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Solution

The fourth proportional to 1,333.34, 1,999.92 and 511.55 is: 767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.34 : 1,999.92 = 511.55 : x
  2. Step 2: Convert to fraction form
    1,333.34/1,999.92 = 511.55/x
  3. Step 3: Cross multiply
    1,333.34x = 1,999.92 × 511.55
  4. Step 4: Simplify right side
    1,333.34x = 1,023,059.08
  5. Step 5: Solve for x
    x = 1,023,059.08/1,333.34
  6. Step 6: Final answer
    x = 767.29

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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.