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Finding the Fourth Proportional to 412.67, 621.45 and 359.21

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Solution

The fourth proportional to 412.67, 621.45 and 359.21 is: 540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.67 : 621.45 = 359.21 : x
  2. Step 2: Convert to fraction form
    412.67/621.45 = 359.21/x
  3. Step 3: Cross multiply
    412.67x = 621.45 × 359.21
  4. Step 4: Simplify right side
    412.67x = 223,231.05
  5. Step 5: Solve for x
    x = 223,231.05/412.67
  6. Step 6: Final answer
    x = 540.94

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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.