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Finding the Fourth Proportional to 830.12, 1,245.94 and 419.54

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Solution

The fourth proportional to 830.12, 1,245.94 and 419.54 is: 629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.12 : 1,245.94 = 419.54 : x
  2. Step 2: Convert to fraction form
    830.12/1,245.94 = 419.54/x
  3. Step 3: Cross multiply
    830.12x = 1,245.94 × 419.54
  4. Step 4: Simplify right side
    830.12x = 522,723.76
  5. Step 5: Solve for x
    x = 522,723.76/830.12
  6. Step 6: Final answer
    x = 629.70

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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.