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Finding the Fourth Proportional to 619, 928.61 and 294.19

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Solution

The fourth proportional to 619, 928.61 and 294.19 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    619 : 928.61 = 294.19 : x
  2. Step 2: Convert to fraction form
    619/928.61 = 294.19/x
  3. Step 3: Cross multiply
    619x = 928.61 × 294.19
  4. Step 4: Simplify right side
    619x = 273,186.30
  5. Step 5: Solve for x
    x = 273,186.30/619
  6. Step 6: Final answer
    x = 441.33

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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.