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Finding the Fourth Proportional to 1,333.07, 1,999.64 and 359.17

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Solution

The fourth proportional to 1,333.07, 1,999.64 and 359.17 is: 538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.07 : 1,999.64 = 359.17 : x
  2. Step 2: Convert to fraction form
    1,333.07/1,999.64 = 359.17/x
  3. Step 3: Cross multiply
    1,333.07x = 1,999.64 × 359.17
  4. Step 4: Simplify right side
    1,333.07x = 718,210.70
  5. Step 5: Solve for x
    x = 718,210.70/1,333.07
  6. Step 6: Final answer
    x = 538.76

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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.