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Finding the Fourth Proportional to 584.05, 874.34 and 378.03

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Solution

The fourth proportional to 584.05, 874.34 and 378.03 is: 565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.05 : 874.34 = 378.03 : x
  2. Step 2: Convert to fraction form
    584.05/874.34 = 378.03/x
  3. Step 3: Cross multiply
    584.05x = 874.34 × 378.03
  4. Step 4: Simplify right side
    584.05x = 330,520.49
  5. Step 5: Solve for x
    x = 330,520.49/584.05
  6. Step 6: Final answer
    x = 565.91

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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.