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Finding the Fourth Proportional to 446.12, 665.49 and 394.28

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Solution

The fourth proportional to 446.12, 665.49 and 394.28 is: 588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.12 : 665.49 = 394.28 : x
  2. Step 2: Convert to fraction form
    446.12/665.49 = 394.28/x
  3. Step 3: Cross multiply
    446.12x = 665.49 × 394.28
  4. Step 4: Simplify right side
    446.12x = 262,389.40
  5. Step 5: Solve for x
    x = 262,389.40/446.12
  6. Step 6: Final answer
    x = 588.16

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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.