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Finding the Fourth Proportional to 417.66, 629.67 and 412.19

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Solution

The fourth proportional to 417.66, 629.67 and 412.19 is: 621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 629.67 = 412.19 : x
  2. Step 2: Convert to fraction form
    417.66/629.67 = 412.19/x
  3. Step 3: Cross multiply
    417.66x = 629.67 × 412.19
  4. Step 4: Simplify right side
    417.66x = 259,544.44
  5. Step 5: Solve for x
    x = 259,544.44/417.66
  6. Step 6: Final answer
    x = 621.43

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Double scale
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1.5x scale

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.