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Finding the Fourth Proportional to 779.31, 1,167.03 and 453.69

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Solution

The fourth proportional to 779.31, 1,167.03 and 453.69 is: 679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.31 : 1,167.03 = 453.69 : x
  2. Step 2: Convert to fraction form
    779.31/1,167.03 = 453.69/x
  3. Step 3: Cross multiply
    779.31x = 1,167.03 × 453.69
  4. Step 4: Simplify right side
    779.31x = 529,469.84
  5. Step 5: Solve for x
    x = 529,469.84/779.31
  6. Step 6: Final answer
    x = 679.41

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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.