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Finding the Fourth Proportional to 1,646.31, 2,469.77 and 780.63

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Solution

The fourth proportional to 1,646.31, 2,469.77 and 780.63 is: 1,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.31 : 2,469.77 = 780.63 : x
  2. Step 2: Convert to fraction form
    1,646.31/2,469.77 = 780.63/x
  3. Step 3: Cross multiply
    1,646.31x = 2,469.77 × 780.63
  4. Step 4: Simplify right side
    1,646.31x = 1,927,976.56
  5. Step 5: Solve for x
    x = 1,927,976.56/1,646.31
  6. Step 6: Final answer
    x = 1,171.09

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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.