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Finding the Fourth Proportional to 442.56, 666.48 and 389.04

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Solution

The fourth proportional to 442.56, 666.48 and 389.04 is: 585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 666.48 = 389.04 : x
  2. Step 2: Convert to fraction form
    442.56/666.48 = 389.04/x
  3. Step 3: Cross multiply
    442.56x = 666.48 × 389.04
  4. Step 4: Simplify right side
    442.56x = 259,287.38
  5. Step 5: Solve for x
    x = 259,287.38/442.56
  6. Step 6: Final answer
    x = 585.88

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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.