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Finding the Fourth Proportional to 446.48, 665.04 and 440.88

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Solution

The fourth proportional to 446.48, 665.04 and 440.88 is: 656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.48 : 665.04 = 440.88 : x
  2. Step 2: Convert to fraction form
    446.48/665.04 = 440.88/x
  3. Step 3: Cross multiply
    446.48x = 665.04 × 440.88
  4. Step 4: Simplify right side
    446.48x = 293,202.84
  5. Step 5: Solve for x
    x = 293,202.84/446.48
  6. Step 6: Final answer
    x = 656.70

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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.