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Finding the Fourth Proportional to 665, 918.16 and 444.20

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Solution

The fourth proportional to 665, 918.16 and 444.20 is: 613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    665 : 918.16 = 444.20 : x
  2. Step 2: Convert to fraction form
    665/918.16 = 444.20/x
  3. Step 3: Cross multiply
    665x = 918.16 × 444.20
  4. Step 4: Simplify right side
    665x = 407,846.67
  5. Step 5: Solve for x
    x = 407,846.67/665
  6. Step 6: Final answer
    x = 613.30

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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.