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Finding the Fourth Proportional to 664.77, 917.41 and 385.07

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Solution

The fourth proportional to 664.77, 917.41 and 385.07 is: 531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.77 : 917.41 = 385.07 : x
  2. Step 2: Convert to fraction form
    664.77/917.41 = 385.07/x
  3. Step 3: Cross multiply
    664.77x = 917.41 × 385.07
  4. Step 4: Simplify right side
    664.77x = 353,270.32
  5. Step 5: Solve for x
    x = 353,270.32/664.77
  6. Step 6: Final answer
    x = 531.42

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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.