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Finding the Fourth Proportional to 620.50, 928.83 and 345.91

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Solution

The fourth proportional to 620.50, 928.83 and 345.91 is: 517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.50 : 928.83 = 345.91 : x
  2. Step 2: Convert to fraction form
    620.50/928.83 = 345.91/x
  3. Step 3: Cross multiply
    620.50x = 928.83 × 345.91
  4. Step 4: Simplify right side
    620.50x = 321,291.59
  5. Step 5: Solve for x
    x = 321,291.59/620.50
  6. Step 6: Final answer
    x = 517.79

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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.