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Finding the Fourth Proportional to 1,376.39, 2,063.31 and 554.15

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Solution

The fourth proportional to 1,376.39, 2,063.31 and 554.15 is: 830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.39 : 2,063.31 = 554.15 : x
  2. Step 2: Convert to fraction form
    1,376.39/2,063.31 = 554.15/x
  3. Step 3: Cross multiply
    1,376.39x = 2,063.31 × 554.15
  4. Step 4: Simplify right side
    1,376.39x = 1,143,383.24
  5. Step 5: Solve for x
    x = 1,143,383.24/1,376.39
  6. Step 6: Final answer
    x = 830.71

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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.