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Finding the Fourth Proportional to 1,369.57, 2,055.90 and 548.43

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Solution

The fourth proportional to 1,369.57, 2,055.90 and 548.43 is: 823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.57 : 2,055.90 = 548.43 : x
  2. Step 2: Convert to fraction form
    1,369.57/2,055.90 = 548.43/x
  3. Step 3: Cross multiply
    1,369.57x = 2,055.90 × 548.43
  4. Step 4: Simplify right side
    1,369.57x = 1,127,517.24
  5. Step 5: Solve for x
    x = 1,127,517.24/1,369.57
  6. Step 6: Final answer
    x = 823.26

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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.