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Finding the Fourth Proportional to 1,333.67, 2,000.64 and 359.87

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Solution

The fourth proportional to 1,333.67, 2,000.64 and 359.87 is: 539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.67 : 2,000.64 = 359.87 : x
  2. Step 2: Convert to fraction form
    1,333.67/2,000.64 = 359.87/x
  3. Step 3: Cross multiply
    1,333.67x = 2,000.64 × 359.87
  4. Step 4: Simplify right side
    1,333.67x = 719,970.32
  5. Step 5: Solve for x
    x = 719,970.32/1,333.67
  6. Step 6: Final answer
    x = 539.84

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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.