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Finding the Fourth Proportional to 660.83, 911.96 and 381.07

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Solution

The fourth proportional to 660.83, 911.96 and 381.07 is: 525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.83 : 911.96 = 381.07 : x
  2. Step 2: Convert to fraction form
    660.83/911.96 = 381.07/x
  3. Step 3: Cross multiply
    660.83x = 911.96 × 381.07
  4. Step 4: Simplify right side
    660.83x = 347,521.26
  5. Step 5: Solve for x
    x = 347,521.26/660.83
  6. Step 6: Final answer
    x = 525.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.