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Finding the Fourth Proportional to 455.76, 682.74 and 301.32

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Solution

The fourth proportional to 455.76, 682.74 and 301.32 is: 451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.76 : 682.74 = 301.32 : x
  2. Step 2: Convert to fraction form
    455.76/682.74 = 301.32/x
  3. Step 3: Cross multiply
    455.76x = 682.74 × 301.32
  4. Step 4: Simplify right side
    455.76x = 205,723.22
  5. Step 5: Solve for x
    x = 205,723.22/455.76
  6. Step 6: Final answer
    x = 451.38

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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.