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Finding the Fourth Proportional to 2,417.78, 3,626.49 and 773.89

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Solution

The fourth proportional to 2,417.78, 3,626.49 and 773.89 is: 1,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.78 : 3,626.49 = 773.89 : x
  2. Step 2: Convert to fraction form
    2,417.78/3,626.49 = 773.89/x
  3. Step 3: Cross multiply
    2,417.78x = 3,626.49 × 773.89
  4. Step 4: Simplify right side
    2,417.78x = 2,806,504.35
  5. Step 5: Solve for x
    x = 2,806,504.35/2,417.78
  6. Step 6: Final answer
    x = 1,160.78

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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.