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Finding the Fourth Proportional to 484.11, 666.32 and 411.03

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Solution

The fourth proportional to 484.11, 666.32 and 411.03 is: 565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.11 : 666.32 = 411.03 : x
  2. Step 2: Convert to fraction form
    484.11/666.32 = 411.03/x
  3. Step 3: Cross multiply
    484.11x = 666.32 × 411.03
  4. Step 4: Simplify right side
    484.11x = 273,875.45
  5. Step 5: Solve for x
    x = 273,875.45/484.11
  6. Step 6: Final answer
    x = 565.73

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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.