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Finding the Fourth Proportional to 1,308.81, 1,963.25 and 518.14

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Solution

The fourth proportional to 1,308.81, 1,963.25 and 518.14 is: 777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.81 : 1,963.25 = 518.14 : x
  2. Step 2: Convert to fraction form
    1,308.81/1,963.25 = 518.14/x
  3. Step 3: Cross multiply
    1,308.81x = 1,963.25 × 518.14
  4. Step 4: Simplify right side
    1,308.81x = 1,017,238.36
  5. Step 5: Solve for x
    x = 1,017,238.36/1,308.81
  6. Step 6: Final answer
    x = 777.22

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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.