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Finding the Fourth Proportional to 1,307.36, 1,960.43 and 759.71

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Solution

The fourth proportional to 1,307.36, 1,960.43 and 759.71 is: 1,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.36 : 1,960.43 = 759.71 : x
  2. Step 2: Convert to fraction form
    1,307.36/1,960.43 = 759.71/x
  3. Step 3: Cross multiply
    1,307.36x = 1,960.43 × 759.71
  4. Step 4: Simplify right side
    1,307.36x = 1,489,359.38
  5. Step 5: Solve for x
    x = 1,489,359.38/1,307.36
  6. Step 6: Final answer
    x = 1,139.21

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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.