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Finding the Fourth Proportional to 443.72, 666.86 and 411.08

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Solution

The fourth proportional to 443.72, 666.86 and 411.08 is: 617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.72 : 666.86 = 411.08 : x
  2. Step 2: Convert to fraction form
    443.72/666.86 = 411.08/x
  3. Step 3: Cross multiply
    443.72x = 666.86 × 411.08
  4. Step 4: Simplify right side
    443.72x = 274,132.81
  5. Step 5: Solve for x
    x = 274,132.81/443.72
  6. Step 6: Final answer
    x = 617.81

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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.