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Finding the Fourth Proportional to 665.55, 996.03 and 458.73

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Solution

The fourth proportional to 665.55, 996.03 and 458.73 is: 686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.55 : 996.03 = 458.73 : x
  2. Step 2: Convert to fraction form
    665.55/996.03 = 458.73/x
  3. Step 3: Cross multiply
    665.55x = 996.03 × 458.73
  4. Step 4: Simplify right side
    665.55x = 456,908.84
  5. Step 5: Solve for x
    x = 456,908.84/665.55
  6. Step 6: Final answer
    x = 686.51

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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.