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Finding the Fourth Proportional to 454.55, 682.74 and 443.62

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Solution

The fourth proportional to 454.55, 682.74 and 443.62 is: 666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.55 : 682.74 = 443.62 : x
  2. Step 2: Convert to fraction form
    454.55/682.74 = 443.62/x
  3. Step 3: Cross multiply
    454.55x = 682.74 × 443.62
  4. Step 4: Simplify right side
    454.55x = 302,875.41
  5. Step 5: Solve for x
    x = 302,875.41/454.55
  6. Step 6: Final answer
    x = 666.32

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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.