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Finding the Fourth Proportional to 1,333.83, 2,000.76 and 359.87

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Solution

The fourth proportional to 1,333.83, 2,000.76 and 359.87 is: 539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.83 : 2,000.76 = 359.87 : x
  2. Step 2: Convert to fraction form
    1,333.83/2,000.76 = 359.87/x
  3. Step 3: Cross multiply
    1,333.83x = 2,000.76 × 359.87
  4. Step 4: Simplify right side
    1,333.83x = 720,003.50
  5. Step 5: Solve for x
    x = 720,003.50/1,333.83
  6. Step 6: Final answer
    x = 539.80

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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.