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Finding the Fourth Proportional to 442.26, 659.75 and 426.47

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Solution

The fourth proportional to 442.26, 659.75 and 426.47 is: 636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 659.75 = 426.47 : x
  2. Step 2: Convert to fraction form
    442.26/659.75 = 426.47/x
  3. Step 3: Cross multiply
    442.26x = 659.75 × 426.47
  4. Step 4: Simplify right side
    442.26x = 281,358.15
  5. Step 5: Solve for x
    x = 281,358.15/442.26
  6. Step 6: Final answer
    x = 636.18

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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.