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Finding the Fourth Proportional to 1,333.59, 1,999.63 and 639.73

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Solution

The fourth proportional to 1,333.59, 1,999.63 and 639.73 is: 959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.59 : 1,999.63 = 639.73 : x
  2. Step 2: Convert to fraction form
    1,333.59/1,999.63 = 639.73/x
  3. Step 3: Cross multiply
    1,333.59x = 1,999.63 × 639.73
  4. Step 4: Simplify right side
    1,333.59x = 1,279,223.30
  5. Step 5: Solve for x
    x = 1,279,223.30/1,333.59
  6. Step 6: Final answer
    x = 959.23

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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.