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Finding the Fourth Proportional to 665.93, 998.81 and 341.30

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Solution

The fourth proportional to 665.93, 998.81 and 341.30 is: 511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.93 : 998.81 = 341.30 : x
  2. Step 2: Convert to fraction form
    665.93/998.81 = 341.30/x
  3. Step 3: Cross multiply
    665.93x = 998.81 × 341.30
  4. Step 4: Simplify right side
    665.93x = 340,892.15
  5. Step 5: Solve for x
    x = 340,892.15/665.93
  6. Step 6: Final answer
    x = 511.90

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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.