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Finding the Fourth Proportional to 441.44, 659.02 and 392.84

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Solution

The fourth proportional to 441.44, 659.02 and 392.84 is: 586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.44 : 659.02 = 392.84 : x
  2. Step 2: Convert to fraction form
    441.44/659.02 = 392.84/x
  3. Step 3: Cross multiply
    441.44x = 659.02 × 392.84
  4. Step 4: Simplify right side
    441.44x = 258,889.42
  5. Step 5: Solve for x
    x = 258,889.42/441.44
  6. Step 6: Final answer
    x = 586.47

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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.