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Finding the Fourth Proportional to 2,430.22, 3,644.55 and 786.43

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Solution

The fourth proportional to 2,430.22, 3,644.55 and 786.43 is: 1,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.22 : 3,644.55 = 786.43 : x
  2. Step 2: Convert to fraction form
    2,430.22/3,644.55 = 786.43/x
  3. Step 3: Cross multiply
    2,430.22x = 3,644.55 × 786.43
  4. Step 4: Simplify right side
    2,430.22x = 2,866,174.35
  5. Step 5: Solve for x
    x = 2,866,174.35/2,430.22
  6. Step 6: Final answer
    x = 1,179.39

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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.