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Finding the Fourth Proportional to 665.25, 918.61 and 416.98

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Solution

The fourth proportional to 665.25, 918.61 and 416.98 is: 575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.25 : 918.61 = 416.98 : x
  2. Step 2: Convert to fraction form
    665.25/918.61 = 416.98/x
  3. Step 3: Cross multiply
    665.25x = 918.61 × 416.98
  4. Step 4: Simplify right side
    665.25x = 383,042.10
  5. Step 5: Solve for x
    x = 383,042.10/665.25
  6. Step 6: Final answer
    x = 575.79

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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.