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Finding the Fourth Proportional to 660.16, 910.96 and 411.54

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Solution

The fourth proportional to 660.16, 910.96 and 411.54 is: 567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.16 : 910.96 = 411.54 : x
  2. Step 2: Convert to fraction form
    660.16/910.96 = 411.54/x
  3. Step 3: Cross multiply
    660.16x = 910.96 × 411.54
  4. Step 4: Simplify right side
    660.16x = 374,896.48
  5. Step 5: Solve for x
    x = 374,896.48/660.16
  6. Step 6: Final answer
    x = 567.89

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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.