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Finding the Fourth Proportional to 412.79, 622.06 and 352.71

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Solution

The fourth proportional to 412.79, 622.06 and 352.71 is: 531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.79 : 622.06 = 352.71 : x
  2. Step 2: Convert to fraction form
    412.79/622.06 = 352.71/x
  3. Step 3: Cross multiply
    412.79x = 622.06 × 352.71
  4. Step 4: Simplify right side
    412.79x = 219,405.90
  5. Step 5: Solve for x
    x = 219,405.90/412.79
  6. Step 6: Final answer
    x = 531.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.