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Finding the Fourth Proportional to 2,490.41, 3,734.78 and 846.59

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Solution

The fourth proportional to 2,490.41, 3,734.78 and 846.59 is: 1,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.41 : 3,734.78 = 846.59 : x
  2. Step 2: Convert to fraction form
    2,490.41/3,734.78 = 846.59/x
  3. Step 3: Cross multiply
    2,490.41x = 3,734.78 × 846.59
  4. Step 4: Simplify right side
    2,490.41x = 3,161,804.49
  5. Step 5: Solve for x
    x = 3,161,804.49/2,490.41
  6. Step 6: Final answer
    x = 1,269.59

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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.