Home / 563.15-845.44-409.25

Finding the Fourth Proportional to 563.15, 845.44 and 409.25

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Solution

The fourth proportional to 563.15, 845.44 and 409.25 is: 614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.15 : 845.44 = 409.25 : x
  2. Step 2: Convert to fraction form
    563.15/845.44 = 409.25/x
  3. Step 3: Cross multiply
    563.15x = 845.44 × 409.25
  4. Step 4: Simplify right side
    563.15x = 345,997.41
  5. Step 5: Solve for x
    x = 345,997.41/563.15
  6. Step 6: Final answer
    x = 614.39

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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.