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Finding the Fourth Proportional to 1,308.53, 1,963.74 and 518.01

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Solution

The fourth proportional to 1,308.53, 1,963.74 and 518.01 is: 777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.53 : 1,963.74 = 518.01 : x
  2. Step 2: Convert to fraction form
    1,308.53/1,963.74 = 518.01/x
  3. Step 3: Cross multiply
    1,308.53x = 1,963.74 × 518.01
  4. Step 4: Simplify right side
    1,308.53x = 1,017,236.96
  5. Step 5: Solve for x
    x = 1,017,236.96/1,308.53
  6. Step 6: Final answer
    x = 777.39

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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.