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Finding the Fourth Proportional to 455.56, 682.63 and 364.23

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Solution

The fourth proportional to 455.56, 682.63 and 364.23 is: 545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.56 : 682.63 = 364.23 : x
  2. Step 2: Convert to fraction form
    455.56/682.63 = 364.23/x
  3. Step 3: Cross multiply
    455.56x = 682.63 × 364.23
  4. Step 4: Simplify right side
    455.56x = 248,633.41
  5. Step 5: Solve for x
    x = 248,633.41/455.56
  6. Step 6: Final answer
    x = 545.78

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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.