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Finding the Fourth Proportional to 780.90, 1,169.04 and 506.22

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Solution

The fourth proportional to 780.90, 1,169.04 and 506.22 is: 757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.90 : 1,169.04 = 506.22 : x
  2. Step 2: Convert to fraction form
    780.90/1,169.04 = 506.22/x
  3. Step 3: Cross multiply
    780.90x = 1,169.04 × 506.22
  4. Step 4: Simplify right side
    780.90x = 591,791.43
  5. Step 5: Solve for x
    x = 591,791.43/780.90
  6. Step 6: Final answer
    x = 757.83

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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.