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Finding the Fourth Proportional to 1,381.78, 2,072.90 and 559.59

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Solution

The fourth proportional to 1,381.78, 2,072.90 and 559.59 is: 839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.78 : 2,072.90 = 559.59 : x
  2. Step 2: Convert to fraction form
    1,381.78/2,072.90 = 559.59/x
  3. Step 3: Cross multiply
    1,381.78x = 2,072.90 × 559.59
  4. Step 4: Simplify right side
    1,381.78x = 1,159,974.11
  5. Step 5: Solve for x
    x = 1,159,974.11/1,381.78
  6. Step 6: Final answer
    x = 839.48

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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.