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Finding the Fourth Proportional to 442.35, 659.75 and 426.87

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Solution

The fourth proportional to 442.35, 659.75 and 426.87 is: 636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.35 : 659.75 = 426.87 : x
  2. Step 2: Convert to fraction form
    442.35/659.75 = 426.87/x
  3. Step 3: Cross multiply
    442.35x = 659.75 × 426.87
  4. Step 4: Simplify right side
    442.35x = 281,625.35
  5. Step 5: Solve for x
    x = 281,625.35/442.35
  6. Step 6: Final answer
    x = 636.66

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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.