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Finding the Fourth Proportional to 1,333.06, 1,999.31 and 359.17

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Solution

The fourth proportional to 1,333.06, 1,999.31 and 359.17 is: 538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.06 : 1,999.31 = 359.17 : x
  2. Step 2: Convert to fraction form
    1,333.06/1,999.31 = 359.17/x
  3. Step 3: Cross multiply
    1,333.06x = 1,999.31 × 359.17
  4. Step 4: Simplify right side
    1,333.06x = 718,092.17
  5. Step 5: Solve for x
    x = 718,092.17/1,333.06
  6. Step 6: Final answer
    x = 538.68

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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.