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Finding the Fourth Proportional to 447.12, 666.23 and 442.94

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Solution

The fourth proportional to 447.12, 666.23 and 442.94 is: 659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 666.23 = 442.94 : x
  2. Step 2: Convert to fraction form
    447.12/666.23 = 442.94/x
  3. Step 3: Cross multiply
    447.12x = 666.23 × 442.94
  4. Step 4: Simplify right side
    447.12x = 295,094.37
  5. Step 5: Solve for x
    x = 295,094.37/447.12
  6. Step 6: Final answer
    x = 659.99

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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.