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Finding the Fourth Proportional to 444.06, 662.94 and 414.77

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Solution

The fourth proportional to 444.06, 662.94 and 414.77 is: 619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.06 : 662.94 = 414.77 : x
  2. Step 2: Convert to fraction form
    444.06/662.94 = 414.77/x
  3. Step 3: Cross multiply
    444.06x = 662.94 × 414.77
  4. Step 4: Simplify right side
    444.06x = 274,964.31
  5. Step 5: Solve for x
    x = 274,964.31/444.06
  6. Step 6: Final answer
    x = 619.21

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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.