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Finding the Fourth Proportional to 619.01, 928.61 and 294.20

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Solution

The fourth proportional to 619.01, 928.61 and 294.20 is: 441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.01 : 928.61 = 294.20 : x
  2. Step 2: Convert to fraction form
    619.01/928.61 = 294.20/x
  3. Step 3: Cross multiply
    619.01x = 928.61 × 294.20
  4. Step 4: Simplify right side
    619.01x = 273,190.95
  5. Step 5: Solve for x
    x = 273,190.95/619.01
  6. Step 6: Final answer
    x = 441.34

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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.