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Finding the Fourth Proportional to 830.22, 1,244.19 and 419.63

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Solution

The fourth proportional to 830.22, 1,244.19 and 419.63 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.22 : 1,244.19 = 419.63 : x
  2. Step 2: Convert to fraction form
    830.22/1,244.19 = 419.63/x
  3. Step 3: Cross multiply
    830.22x = 1,244.19 × 419.63
  4. Step 4: Simplify right side
    830.22x = 522,099.45
  5. Step 5: Solve for x
    x = 522,099.45/830.22
  6. Step 6: Final answer
    x = 628.87

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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.