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Finding the Fourth Proportional to 1,694.70, 2,541.81 and 655.19

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Solution

The fourth proportional to 1,694.70, 2,541.81 and 655.19 is: 982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.70 : 2,541.81 = 655.19 : x
  2. Step 2: Convert to fraction form
    1,694.70/2,541.81 = 655.19/x
  3. Step 3: Cross multiply
    1,694.70x = 2,541.81 × 655.19
  4. Step 4: Simplify right side
    1,694.70x = 1,665,368.85
  5. Step 5: Solve for x
    x = 1,665,368.85/1,694.70
  6. Step 6: Final answer
    x = 982.69

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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.