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Finding the Fourth Proportional to 1,369.09, 2,053.41 and 394.98

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Solution

The fourth proportional to 1,369.09, 2,053.41 and 394.98 is: 592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.09 : 2,053.41 = 394.98 : x
  2. Step 2: Convert to fraction form
    1,369.09/2,053.41 = 394.98/x
  3. Step 3: Cross multiply
    1,369.09x = 2,053.41 × 394.98
  4. Step 4: Simplify right side
    1,369.09x = 811,055.88
  5. Step 5: Solve for x
    x = 811,055.88/1,369.09
  6. Step 6: Final answer
    x = 592.41

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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.