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Finding the Fourth Proportional to 2,308.83, 3,462.81 and 620.24

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Solution

The fourth proportional to 2,308.83, 3,462.81 and 620.24 is: 930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.83 : 3,462.81 = 620.24 : x
  2. Step 2: Convert to fraction form
    2,308.83/3,462.81 = 620.24/x
  3. Step 3: Cross multiply
    2,308.83x = 3,462.81 × 620.24
  4. Step 4: Simplify right side
    2,308.83x = 2,147,773.27
  5. Step 5: Solve for x
    x = 2,147,773.27/2,308.83
  6. Step 6: Final answer
    x = 930.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.