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Finding the Fourth Proportional to 563.94, 778.22 and 367.84

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Solution

The fourth proportional to 563.94, 778.22 and 367.84 is: 507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.94 : 778.22 = 367.84 : x
  2. Step 2: Convert to fraction form
    563.94/778.22 = 367.84/x
  3. Step 3: Cross multiply
    563.94x = 778.22 × 367.84
  4. Step 4: Simplify right side
    563.94x = 286,260.44
  5. Step 5: Solve for x
    x = 286,260.44/563.94
  6. Step 6: Final answer
    x = 507.61

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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.