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Finding the Fourth Proportional to 463.83, 696.39 and 412.80

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Solution

The fourth proportional to 463.83, 696.39 and 412.80 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.83 : 696.39 = 412.80 : x
  2. Step 2: Convert to fraction form
    463.83/696.39 = 412.80/x
  3. Step 3: Cross multiply
    463.83x = 696.39 × 412.80
  4. Step 4: Simplify right side
    463.83x = 287,467.73
  5. Step 5: Solve for x
    x = 287,467.73/463.83
  6. Step 6: Final answer
    x = 619.77

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