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Finding the Fourth Proportional to 619.32, 928.26 and 344.94

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Solution

The fourth proportional to 619.32, 928.26 and 344.94 is: 517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.32 : 928.26 = 344.94 : x
  2. Step 2: Convert to fraction form
    619.32/928.26 = 344.94/x
  3. Step 3: Cross multiply
    619.32x = 928.26 × 344.94
  4. Step 4: Simplify right side
    619.32x = 320,194.00
  5. Step 5: Solve for x
    x = 320,194.00/619.32
  6. Step 6: Final answer
    x = 517.01

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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.