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Finding the Fourth Proportional to 665.42, 998.10 and 299.77

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Solution

The fourth proportional to 665.42, 998.10 and 299.77 is: 449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.42 : 998.10 = 299.77 : x
  2. Step 2: Convert to fraction form
    665.42/998.10 = 299.77/x
  3. Step 3: Cross multiply
    665.42x = 998.10 × 299.77
  4. Step 4: Simplify right side
    665.42x = 299,197.94
  5. Step 5: Solve for x
    x = 299,197.94/665.42
  6. Step 6: Final answer
    x = 449.64

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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.