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Finding the Fourth Proportional to 665.89, 992.14 and 628.63

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Solution

The fourth proportional to 665.89, 992.14 and 628.63 is: 936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.89 : 992.14 = 628.63 : x
  2. Step 2: Convert to fraction form
    665.89/992.14 = 628.63/x
  3. Step 3: Cross multiply
    665.89x = 992.14 × 628.63
  4. Step 4: Simplify right side
    665.89x = 623,682.44
  5. Step 5: Solve for x
    x = 623,682.44/665.89
  6. Step 6: Final answer
    x = 936.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.