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Finding the Fourth Proportional to 1,308.68, 1,963.58 and 487.56

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Solution

The fourth proportional to 1,308.68, 1,963.58 and 487.56 is: 731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.68 : 1,963.58 = 487.56 : x
  2. Step 2: Convert to fraction form
    1,308.68/1,963.58 = 487.56/x
  3. Step 3: Cross multiply
    1,308.68x = 1,963.58 × 487.56
  4. Step 4: Simplify right side
    1,308.68x = 957,363.06
  5. Step 5: Solve for x
    x = 957,363.06/1,308.68
  6. Step 6: Final answer
    x = 731.55

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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.