Home / 1,468.15-2,202.55-428.23

Finding the Fourth Proportional to 1,468.15, 2,202.55 and 428.23

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Solution

The fourth proportional to 1,468.15, 2,202.55 and 428.23 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.15 : 2,202.55 = 428.23 : x
  2. Step 2: Convert to fraction form
    1,468.15/2,202.55 = 428.23/x
  3. Step 3: Cross multiply
    1,468.15x = 2,202.55 × 428.23
  4. Step 4: Simplify right side
    1,468.15x = 943,198.42
  5. Step 5: Solve for x
    x = 943,198.42/1,468.15
  6. Step 6: Final answer
    x = 642.44

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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.