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Finding the Fourth Proportional to 442.09, 662.47 and 403.18

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Solution

The fourth proportional to 442.09, 662.47 and 403.18 is: 604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.09 : 662.47 = 403.18 : x
  2. Step 2: Convert to fraction form
    442.09/662.47 = 403.18/x
  3. Step 3: Cross multiply
    442.09x = 662.47 × 403.18
  4. Step 4: Simplify right side
    442.09x = 267,094.29
  5. Step 5: Solve for x
    x = 267,094.29/442.09
  6. Step 6: Final answer
    x = 604.17

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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.