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Finding the Fourth Proportional to 447.59, 666.46 and 442.69

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Solution

The fourth proportional to 447.59, 666.46 and 442.69 is: 659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.59 : 666.46 = 442.69 : x
  2. Step 2: Convert to fraction form
    447.59/666.46 = 442.69/x
  3. Step 3: Cross multiply
    447.59x = 666.46 × 442.69
  4. Step 4: Simplify right side
    447.59x = 295,035.18
  5. Step 5: Solve for x
    x = 295,035.18/447.59
  6. Step 6: Final answer
    x = 659.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.