Home / 1,308.26-1,962.44-517.60

Finding the Fourth Proportional to 1,308.26, 1,962.44 and 517.60

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Solution

The fourth proportional to 1,308.26, 1,962.44 and 517.60 is: 776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.26 : 1,962.44 = 517.60 : x
  2. Step 2: Convert to fraction form
    1,308.26/1,962.44 = 517.60/x
  3. Step 3: Cross multiply
    1,308.26x = 1,962.44 × 517.60
  4. Step 4: Simplify right side
    1,308.26x = 1,015,758.94
  5. Step 5: Solve for x
    x = 1,015,758.94/1,308.26
  6. Step 6: Final answer
    x = 776.42

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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.