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Finding the Fourth Proportional to 665.51, 997.43 and 422.10

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Solution

The fourth proportional to 665.51, 997.43 and 422.10 is: 632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.51 : 997.43 = 422.10 : x
  2. Step 2: Convert to fraction form
    665.51/997.43 = 422.10/x
  3. Step 3: Cross multiply
    665.51x = 997.43 × 422.10
  4. Step 4: Simplify right side
    665.51x = 421,013.09
  5. Step 5: Solve for x
    x = 421,013.09/665.51
  6. Step 6: Final answer
    x = 632.62

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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.