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Finding the Fourth Proportional to 1,333.05, 1,998.83 and 511.35

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Solution

The fourth proportional to 1,333.05, 1,998.83 and 511.35 is: 766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.05 : 1,998.83 = 511.35 : x
  2. Step 2: Convert to fraction form
    1,333.05/1,998.83 = 511.35/x
  3. Step 3: Cross multiply
    1,333.05x = 1,998.83 × 511.35
  4. Step 4: Simplify right side
    1,333.05x = 1,022,099.16
  5. Step 5: Solve for x
    x = 1,022,099.16/1,333.05
  6. Step 6: Final answer
    x = 766.74

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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.