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Finding the Fourth Proportional to 444.93, 664.14 and 412.81

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Solution

The fourth proportional to 444.93, 664.14 and 412.81 is: 616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.93 : 664.14 = 412.81 : x
  2. Step 2: Convert to fraction form
    444.93/664.14 = 412.81/x
  3. Step 3: Cross multiply
    444.93x = 664.14 × 412.81
  4. Step 4: Simplify right side
    444.93x = 274,163.63
  5. Step 5: Solve for x
    x = 274,163.63/444.93
  6. Step 6: Final answer
    x = 616.19

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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.