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Finding the Fourth Proportional to 1,644.33, 2,464.33 and 778.89

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Solution

The fourth proportional to 1,644.33, 2,464.33 and 778.89 is: 1,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.33 : 2,464.33 = 778.89 : x
  2. Step 2: Convert to fraction form
    1,644.33/2,464.33 = 778.89/x
  3. Step 3: Cross multiply
    1,644.33x = 2,464.33 × 778.89
  4. Step 4: Simplify right side
    1,644.33x = 1,919,441.99
  5. Step 5: Solve for x
    x = 1,919,441.99/1,644.33
  6. Step 6: Final answer
    x = 1,167.31

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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.