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Finding the Fourth Proportional to 665.69, 998.93 and 405.88

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Solution

The fourth proportional to 665.69, 998.93 and 405.88 is: 609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.69 : 998.93 = 405.88 : x
  2. Step 2: Convert to fraction form
    665.69/998.93 = 405.88/x
  3. Step 3: Cross multiply
    665.69x = 998.93 × 405.88
  4. Step 4: Simplify right side
    665.69x = 405,444.23
  5. Step 5: Solve for x
    x = 405,444.23/665.69
  6. Step 6: Final answer
    x = 609.06

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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.