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Finding the Fourth Proportional to 442.05, 666.61 and 435.97

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Solution

The fourth proportional to 442.05, 666.61 and 435.97 is: 657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.05 : 666.61 = 435.97 : x
  2. Step 2: Convert to fraction form
    442.05/666.61 = 435.97/x
  3. Step 3: Cross multiply
    442.05x = 666.61 × 435.97
  4. Step 4: Simplify right side
    442.05x = 290,621.96
  5. Step 5: Solve for x
    x = 290,621.96/442.05
  6. Step 6: Final answer
    x = 657.44

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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.