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Finding the Fourth Proportional to 620.36, 930.50 and 345.83

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Solution

The fourth proportional to 620.36, 930.50 and 345.83 is: 518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.36 : 930.50 = 345.83 : x
  2. Step 2: Convert to fraction form
    620.36/930.50 = 345.83/x
  3. Step 3: Cross multiply
    620.36x = 930.50 × 345.83
  4. Step 4: Simplify right side
    620.36x = 321,793.09
  5. Step 5: Solve for x
    x = 321,793.09/620.36
  6. Step 6: Final answer
    x = 518.72

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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.