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Finding the Fourth Proportional to 619.75, 928.84 and 345.45

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Solution

The fourth proportional to 619.75, 928.84 and 345.45 is: 517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.75 : 928.84 = 345.45 : x
  2. Step 2: Convert to fraction form
    619.75/928.84 = 345.45/x
  3. Step 3: Cross multiply
    619.75x = 928.84 × 345.45
  4. Step 4: Simplify right side
    619.75x = 320,867.78
  5. Step 5: Solve for x
    x = 320,867.78/619.75
  6. Step 6: Final answer
    x = 517.74

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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.