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Finding the Fourth Proportional to 443.98, 665.20 and 398.89

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Solution

The fourth proportional to 443.98, 665.20 and 398.89 is: 597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.98 : 665.20 = 398.89 : x
  2. Step 2: Convert to fraction form
    443.98/665.20 = 398.89/x
  3. Step 3: Cross multiply
    443.98x = 665.20 × 398.89
  4. Step 4: Simplify right side
    443.98x = 265,341.63
  5. Step 5: Solve for x
    x = 265,341.63/443.98
  6. Step 6: Final answer
    x = 597.64

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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.