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Finding the Fourth Proportional to 442.65, 662.55 and 401.12

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Solution

The fourth proportional to 442.65, 662.55 and 401.12 is: 600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.65 : 662.55 = 401.12 : x
  2. Step 2: Convert to fraction form
    442.65/662.55 = 401.12/x
  3. Step 3: Cross multiply
    442.65x = 662.55 × 401.12
  4. Step 4: Simplify right side
    442.65x = 265,758.74
  5. Step 5: Solve for x
    x = 265,758.74/442.65
  6. Step 6: Final answer
    x = 600.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.