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Finding the Fourth Proportional to 1,373.30, 2,059.94 and 333.31

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Solution

The fourth proportional to 1,373.30, 2,059.94 and 333.31 is: 499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.30 : 2,059.94 = 333.31 : x
  2. Step 2: Convert to fraction form
    1,373.30/2,059.94 = 333.31/x
  3. Step 3: Cross multiply
    1,373.30x = 2,059.94 × 333.31
  4. Step 4: Simplify right side
    1,373.30x = 686,602.08
  5. Step 5: Solve for x
    x = 686,602.08/1,373.30
  6. Step 6: Final answer
    x = 499.96

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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.