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Finding the Fourth Proportional to 660.13, 911.07 and 411.53

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Solution

The fourth proportional to 660.13, 911.07 and 411.53 is: 567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.13 : 911.07 = 411.53 : x
  2. Step 2: Convert to fraction form
    660.13/911.07 = 411.53/x
  3. Step 3: Cross multiply
    660.13x = 911.07 × 411.53
  4. Step 4: Simplify right side
    660.13x = 374,932.64
  5. Step 5: Solve for x
    x = 374,932.64/660.13
  6. Step 6: Final answer
    x = 567.97

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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.