Home / 1,468.35-2,202.19-428.33

Finding the Fourth Proportional to 1,468.35, 2,202.19 and 428.33

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Solution

The fourth proportional to 1,468.35, 2,202.19 and 428.33 is: 642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.35 : 2,202.19 = 428.33 : x
  2. Step 2: Convert to fraction form
    1,468.35/2,202.19 = 428.33/x
  3. Step 3: Cross multiply
    1,468.35x = 2,202.19 × 428.33
  4. Step 4: Simplify right side
    1,468.35x = 943,268.48
  5. Step 5: Solve for x
    x = 943,268.48/1,468.35
  6. Step 6: Final answer
    x = 642.40

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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.