Home / 1,381.11-2,071.43-406.98

Finding the Fourth Proportional to 1,381.11, 2,071.43 and 406.98

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Solution

The fourth proportional to 1,381.11, 2,071.43 and 406.98 is: 610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.11 : 2,071.43 = 406.98 : x
  2. Step 2: Convert to fraction form
    1,381.11/2,071.43 = 406.98/x
  3. Step 3: Cross multiply
    1,381.11x = 2,071.43 × 406.98
  4. Step 4: Simplify right side
    1,381.11x = 843,036.25
  5. Step 5: Solve for x
    x = 843,036.25/1,381.11
  6. Step 6: Final answer
    x = 610.41

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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.