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Finding the Fourth Proportional to 442.63, 659.26 and 419.50

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Solution

The fourth proportional to 442.63, 659.26 and 419.50 is: 624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.63 : 659.26 = 419.50 : x
  2. Step 2: Convert to fraction form
    442.63/659.26 = 419.50/x
  3. Step 3: Cross multiply
    442.63x = 659.26 × 419.50
  4. Step 4: Simplify right side
    442.63x = 276,557.32
  5. Step 5: Solve for x
    x = 276,557.32/442.63
  6. Step 6: Final answer
    x = 624.81

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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.