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Finding the Fourth Proportional to 444.56, 663.34 and 395.84

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Solution

The fourth proportional to 444.56, 663.34 and 395.84 is: 590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.56 : 663.34 = 395.84 : x
  2. Step 2: Convert to fraction form
    444.56/663.34 = 395.84/x
  3. Step 3: Cross multiply
    444.56x = 663.34 × 395.84
  4. Step 4: Simplify right side
    444.56x = 262,576.51
  5. Step 5: Solve for x
    x = 262,576.51/444.56
  6. Step 6: Final answer
    x = 590.64

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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.