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Finding the Fourth Proportional to 446.66, 670.22 and 412.64

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Solution

The fourth proportional to 446.66, 670.22 and 412.64 is: 619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.66 : 670.22 = 412.64 : x
  2. Step 2: Convert to fraction form
    446.66/670.22 = 412.64/x
  3. Step 3: Cross multiply
    446.66x = 670.22 × 412.64
  4. Step 4: Simplify right side
    446.66x = 276,564.32
  5. Step 5: Solve for x
    x = 276,564.32/446.66
  6. Step 6: Final answer
    x = 619.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.