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Finding the Fourth Proportional to 1,377.51, 2,063.07 and 759.98

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Solution

The fourth proportional to 1,377.51, 2,063.07 and 759.98 is: 1,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.51 : 2,063.07 = 759.98 : x
  2. Step 2: Convert to fraction form
    1,377.51/2,063.07 = 759.98/x
  3. Step 3: Cross multiply
    1,377.51x = 2,063.07 × 759.98
  4. Step 4: Simplify right side
    1,377.51x = 1,567,897.10
  5. Step 5: Solve for x
    x = 1,567,897.10/1,377.51
  6. Step 6: Final answer
    x = 1,138.21

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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.