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Finding the Fourth Proportional to 411.79, 567.06 and 352.54

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Solution

The fourth proportional to 411.79, 567.06 and 352.54 is: 485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.79 : 567.06 = 352.54 : x
  2. Step 2: Convert to fraction form
    411.79/567.06 = 352.54/x
  3. Step 3: Cross multiply
    411.79x = 567.06 × 352.54
  4. Step 4: Simplify right side
    411.79x = 199,911.33
  5. Step 5: Solve for x
    x = 199,911.33/411.79
  6. Step 6: Final answer
    x = 485.47

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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.