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Finding the Fourth Proportional to 1,307.25, 1,960.26 and 759.59

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Solution

The fourth proportional to 1,307.25, 1,960.26 and 759.59 is: 1,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.25 : 1,960.26 = 759.59 : x
  2. Step 2: Convert to fraction form
    1,307.25/1,960.26 = 759.59/x
  3. Step 3: Cross multiply
    1,307.25x = 1,960.26 × 759.59
  4. Step 4: Simplify right side
    1,307.25x = 1,488,993.89
  5. Step 5: Solve for x
    x = 1,488,993.89/1,307.25
  6. Step 6: Final answer
    x = 1,139.03

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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.