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Finding the Fourth Proportional to 1,381.37, 2,072.13 and 559.65

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Solution

The fourth proportional to 1,381.37, 2,072.13 and 559.65 is: 839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.37 : 2,072.13 = 559.65 : x
  2. Step 2: Convert to fraction form
    1,381.37/2,072.13 = 559.65/x
  3. Step 3: Cross multiply
    1,381.37x = 2,072.13 × 559.65
  4. Step 4: Simplify right side
    1,381.37x = 1,159,667.55
  5. Step 5: Solve for x
    x = 1,159,667.55/1,381.37
  6. Step 6: Final answer
    x = 839.51

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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.