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Finding the Fourth Proportional to 412.68, 621.44 and 359.22

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Solution

The fourth proportional to 412.68, 621.44 and 359.22 is: 540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 621.44 = 359.22 : x
  2. Step 2: Convert to fraction form
    412.68/621.44 = 359.22/x
  3. Step 3: Cross multiply
    412.68x = 621.44 × 359.22
  4. Step 4: Simplify right side
    412.68x = 223,233.68
  5. Step 5: Solve for x
    x = 223,233.68/412.68
  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.