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Finding the Fourth Proportional to 779.33, 1,167.27 and 504.59

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Solution

The fourth proportional to 779.33, 1,167.27 and 504.59 is: 755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.33 : 1,167.27 = 504.59 : x
  2. Step 2: Convert to fraction form
    779.33/1,167.27 = 504.59/x
  3. Step 3: Cross multiply
    779.33x = 1,167.27 × 504.59
  4. Step 4: Simplify right side
    779.33x = 588,986.93
  5. Step 5: Solve for x
    x = 588,986.93/779.33
  6. Step 6: Final answer
    x = 755.77

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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.