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Finding the Fourth Proportional to 446.64, 666.62 and 394.75

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Solution

The fourth proportional to 446.64, 666.62 and 394.75 is: 589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.64 : 666.62 = 394.75 : x
  2. Step 2: Convert to fraction form
    446.64/666.62 = 394.75/x
  3. Step 3: Cross multiply
    446.64x = 666.62 × 394.75
  4. Step 4: Simplify right side
    446.64x = 263,148.25
  5. Step 5: Solve for x
    x = 263,148.25/446.64
  6. Step 6: Final answer
    x = 589.17

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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.