Home / 1,381.38-2,072.40-407.49

Finding the Fourth Proportional to 1,381.38, 2,072.40 and 407.49

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Solution

The fourth proportional to 1,381.38, 2,072.40 and 407.49 is: 611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.38 : 2,072.40 = 407.49 : x
  2. Step 2: Convert to fraction form
    1,381.38/2,072.40 = 407.49/x
  3. Step 3: Cross multiply
    1,381.38x = 2,072.40 × 407.49
  4. Step 4: Simplify right side
    1,381.38x = 844,482.28
  5. Step 5: Solve for x
    x = 844,482.28/1,381.38
  6. Step 6: Final answer
    x = 611.33

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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.