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Finding the Fourth Proportional to 665.11, 998.44 and 357.57

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Solution

The fourth proportional to 665.11, 998.44 and 357.57 is: 536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.11 : 998.44 = 357.57 : x
  2. Step 2: Convert to fraction form
    665.11/998.44 = 357.57/x
  3. Step 3: Cross multiply
    665.11x = 998.44 × 357.57
  4. Step 4: Simplify right side
    665.11x = 357,012.19
  5. Step 5: Solve for x
    x = 357,012.19/665.11
  6. Step 6: Final answer
    x = 536.77

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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.