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Finding the Fourth Proportional to 1,073.04, 1,608.60 and 379.30

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Solution

The fourth proportional to 1,073.04, 1,608.60 and 379.30 is: 568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.04 : 1,608.60 = 379.30 : x
  2. Step 2: Convert to fraction form
    1,073.04/1,608.60 = 379.30/x
  3. Step 3: Cross multiply
    1,073.04x = 1,608.60 × 379.30
  4. Step 4: Simplify right side
    1,073.04x = 610,141.98
  5. Step 5: Solve for x
    x = 610,141.98/1,073.04
  6. Step 6: Final answer
    x = 568.61

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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.