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Finding the Fourth Proportional to 665.50, 996.29 and 459.63

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Solution

The fourth proportional to 665.50, 996.29 and 459.63 is: 688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.50 : 996.29 = 459.63 : x
  2. Step 2: Convert to fraction form
    665.50/996.29 = 459.63/x
  3. Step 3: Cross multiply
    665.50x = 996.29 × 459.63
  4. Step 4: Simplify right side
    665.50x = 457,924.77
  5. Step 5: Solve for x
    x = 457,924.77/665.50
  6. Step 6: Final answer
    x = 688.09

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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.