Home / 1,505.02-2,257.23-409.09

Finding the Fourth Proportional to 1,505.02, 2,257.23 and 409.09

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Solution

The fourth proportional to 1,505.02, 2,257.23 and 409.09 is: 613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.02 : 2,257.23 = 409.09 : x
  2. Step 2: Convert to fraction form
    1,505.02/2,257.23 = 409.09/x
  3. Step 3: Cross multiply
    1,505.02x = 2,257.23 × 409.09
  4. Step 4: Simplify right side
    1,505.02x = 923,410.22
  5. Step 5: Solve for x
    x = 923,410.22/1,505.02
  6. Step 6: Final answer
    x = 613.55

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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.