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Finding the Fourth Proportional to 665.10, 917.91 and 385.33

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Solution

The fourth proportional to 665.10, 917.91 and 385.33 is: 531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.10 : 917.91 = 385.33 : x
  2. Step 2: Convert to fraction form
    665.10/917.91 = 385.33/x
  3. Step 3: Cross multiply
    665.10x = 917.91 × 385.33
  4. Step 4: Simplify right side
    665.10x = 353,698.26
  5. Step 5: Solve for x
    x = 353,698.26/665.10
  6. Step 6: Final answer
    x = 531.80

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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.