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Finding the Fourth Proportional to 664.92, 917.52 and 385.20

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Solution

The fourth proportional to 664.92, 917.52 and 385.20 is: 531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.92 : 917.52 = 385.20 : x
  2. Step 2: Convert to fraction form
    664.92/917.52 = 385.20/x
  3. Step 3: Cross multiply
    664.92x = 917.52 × 385.20
  4. Step 4: Simplify right side
    664.92x = 353,428.70
  5. Step 5: Solve for x
    x = 353,428.70/664.92
  6. Step 6: Final answer
    x = 531.54

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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.