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Finding the Fourth Proportional to 442.63, 609.58 and 408.00

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Solution

The fourth proportional to 442.63, 609.58 and 408.00 is: 561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.63 : 609.58 = 408.00 : x
  2. Step 2: Convert to fraction form
    442.63/609.58 = 408.00/x
  3. Step 3: Cross multiply
    442.63x = 609.58 × 408.00
  4. Step 4: Simplify right side
    442.63x = 248,711.44
  5. Step 5: Solve for x
    x = 248,711.44/442.63
  6. Step 6: Final answer
    x = 561.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.