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Finding the Fourth Proportional to 412.54, 619.73 and 352.40

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Solution

The fourth proportional to 412.54, 619.73 and 352.40 is: 529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 619.73 = 352.40 : x
  2. Step 2: Convert to fraction form
    412.54/619.73 = 352.40/x
  3. Step 3: Cross multiply
    412.54x = 619.73 × 352.40
  4. Step 4: Simplify right side
    412.54x = 218,392.85
  5. Step 5: Solve for x
    x = 218,392.85/412.54
  6. Step 6: Final answer
    x = 529.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.