Home / 1,308.14-1,962.25-614.80

Finding the Fourth Proportional to 1,308.14, 1,962.25 and 614.80

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Solution

The fourth proportional to 1,308.14, 1,962.25 and 614.80 is: 922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.14 : 1,962.25 = 614.80 : x
  2. Step 2: Convert to fraction form
    1,308.14/1,962.25 = 614.80/x
  3. Step 3: Cross multiply
    1,308.14x = 1,962.25 × 614.80
  4. Step 4: Simplify right side
    1,308.14x = 1,206,378.41
  5. Step 5: Solve for x
    x = 1,206,378.41/1,308.14
  6. Step 6: Final answer
    x = 922.21

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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.