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Finding the Fourth Proportional to 446, 665.04 and 420.44

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Solution

The fourth proportional to 446, 665.04 and 420.44 is: 626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    446 : 665.04 = 420.44 : x
  2. Step 2: Convert to fraction form
    446/665.04 = 420.44/x
  3. Step 3: Cross multiply
    446x = 665.04 × 420.44
  4. Step 4: Simplify right side
    446x = 279,609.42
  5. Step 5: Solve for x
    x = 279,609.42/446
  6. Step 6: Final answer
    x = 626.93

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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.