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Finding the Fourth Proportional to 754.02, 1,133.09 and 389.09

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Solution

The fourth proportional to 754.02, 1,133.09 and 389.09 is: 584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.02 : 1,133.09 = 389.09 : x
  2. Step 2: Convert to fraction form
    754.02/1,133.09 = 389.09/x
  3. Step 3: Cross multiply
    754.02x = 1,133.09 × 389.09
  4. Step 4: Simplify right side
    754.02x = 440,866.38
  5. Step 5: Solve for x
    x = 440,866.38/754.02
  6. Step 6: Final answer
    x = 584.69

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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.