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Finding the Fourth Proportional to 782.25, 1,173.60 and 269.25

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Solution

The fourth proportional to 782.25, 1,173.60 and 269.25 is: 403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.25 : 1,173.60 = 269.25 : x
  2. Step 2: Convert to fraction form
    782.25/1,173.60 = 269.25/x
  3. Step 3: Cross multiply
    782.25x = 1,173.60 × 269.25
  4. Step 4: Simplify right side
    782.25x = 315,991.80
  5. Step 5: Solve for x
    x = 315,991.80/782.25
  6. Step 6: Final answer
    x = 403.95

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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.