Home / 1,028.75-1,419.56-609.13

Finding the Fourth Proportional to 1,028.75, 1,419.56 and 609.13

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Solution

The fourth proportional to 1,028.75, 1,419.56 and 609.13 is: 840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.75 : 1,419.56 = 609.13 : x
  2. Step 2: Convert to fraction form
    1,028.75/1,419.56 = 609.13/x
  3. Step 3: Cross multiply
    1,028.75x = 1,419.56 × 609.13
  4. Step 4: Simplify right side
    1,028.75x = 864,697.60
  5. Step 5: Solve for x
    x = 864,697.60/1,028.75
  6. Step 6: Final answer
    x = 840.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.