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Finding the Fourth Proportional to 446.71, 673.42 and 416.98

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Solution

The fourth proportional to 446.71, 673.42 and 416.98 is: 628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.71 : 673.42 = 416.98 : x
  2. Step 2: Convert to fraction form
    446.71/673.42 = 416.98/x
  3. Step 3: Cross multiply
    446.71x = 673.42 × 416.98
  4. Step 4: Simplify right side
    446.71x = 280,802.67
  5. Step 5: Solve for x
    x = 280,802.67/446.71
  6. Step 6: Final answer
    x = 628.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.