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Finding the Fourth Proportional to 665.36, 918.20 and 416.54

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Solution

The fourth proportional to 665.36, 918.20 and 416.54 is: 574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.36 : 918.20 = 416.54 : x
  2. Step 2: Convert to fraction form
    665.36/918.20 = 416.54/x
  3. Step 3: Cross multiply
    665.36x = 918.20 × 416.54
  4. Step 4: Simplify right side
    665.36x = 382,467.03
  5. Step 5: Solve for x
    x = 382,467.03/665.36
  6. Step 6: Final answer
    x = 574.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.