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Finding the Fourth Proportional to 665.78, 918.94 and 382.28

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Solution

The fourth proportional to 665.78, 918.94 and 382.28 is: 527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.78 : 918.94 = 382.28 : x
  2. Step 2: Convert to fraction form
    665.78/918.94 = 382.28/x
  3. Step 3: Cross multiply
    665.78x = 918.94 × 382.28
  4. Step 4: Simplify right side
    665.78x = 351,292.38
  5. Step 5: Solve for x
    x = 351,292.38/665.78
  6. Step 6: Final answer
    x = 527.64

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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.