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Finding the Fourth Proportional to 769.06, 1,153.64 and 275.56

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Solution

The fourth proportional to 769.06, 1,153.64 and 275.56 is: 413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.06 : 1,153.64 = 275.56 : x
  2. Step 2: Convert to fraction form
    769.06/1,153.64 = 275.56/x
  3. Step 3: Cross multiply
    769.06x = 1,153.64 × 275.56
  4. Step 4: Simplify right side
    769.06x = 317,897.04
  5. Step 5: Solve for x
    x = 317,897.04/769.06
  6. Step 6: Final answer
    x = 413.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.