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Finding the Fourth Proportional to 446.59, 673.28 and 415.27

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Solution

The fourth proportional to 446.59, 673.28 and 415.27 is: 626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.59 : 673.28 = 415.27 : x
  2. Step 2: Convert to fraction form
    446.59/673.28 = 415.27/x
  3. Step 3: Cross multiply
    446.59x = 673.28 × 415.27
  4. Step 4: Simplify right side
    446.59x = 279,592.99
  5. Step 5: Solve for x
    x = 279,592.99/446.59
  6. Step 6: Final answer
    x = 626.06

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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.