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Finding the Fourth Proportional to 665.70, 997.12 and 418.24

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Solution

The fourth proportional to 665.70, 997.12 and 418.24 is: 626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.70 : 997.12 = 418.24 : x
  2. Step 2: Convert to fraction form
    665.70/997.12 = 418.24/x
  3. Step 3: Cross multiply
    665.70x = 997.12 × 418.24
  4. Step 4: Simplify right side
    665.70x = 417,035.47
  5. Step 5: Solve for x
    x = 417,035.47/665.70
  6. Step 6: Final answer
    x = 626.46

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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.