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Finding the Fourth Proportional to 442.09, 666.44 and 412.35

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Solution

The fourth proportional to 442.09, 666.44 and 412.35 is: 621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.09 : 666.44 = 412.35 : x
  2. Step 2: Convert to fraction form
    442.09/666.44 = 412.35/x
  3. Step 3: Cross multiply
    442.09x = 666.44 × 412.35
  4. Step 4: Simplify right side
    442.09x = 274,809.29
  5. Step 5: Solve for x
    x = 274,809.29/442.09
  6. Step 6: Final answer
    x = 621.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.