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Finding the Fourth Proportional to 665.09, 917.71 and 385.36

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Solution

The fourth proportional to 665.09, 917.71 and 385.36 is: 531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.09 : 917.71 = 385.36 : x
  2. Step 2: Convert to fraction form
    665.09/917.71 = 385.36/x
  3. Step 3: Cross multiply
    665.09x = 917.71 × 385.36
  4. Step 4: Simplify right side
    665.09x = 353,648.73
  5. Step 5: Solve for x
    x = 353,648.73/665.09
  6. Step 6: Final answer
    x = 531.73

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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.