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Finding the Fourth Proportional to 442.33, 659.11 and 393.87

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Solution

The fourth proportional to 442.33, 659.11 and 393.87 is: 586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.33 : 659.11 = 393.87 : x
  2. Step 2: Convert to fraction form
    442.33/659.11 = 393.87/x
  3. Step 3: Cross multiply
    442.33x = 659.11 × 393.87
  4. Step 4: Simplify right side
    442.33x = 259,603.66
  5. Step 5: Solve for x
    x = 259,603.66/442.33
  6. Step 6: Final answer
    x = 586.90

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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.