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Finding the Fourth Proportional to 412.55, 621.26 and 359.09

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Solution

The fourth proportional to 412.55, 621.26 and 359.09 is: 540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.55 : 621.26 = 359.09 : x
  2. Step 2: Convert to fraction form
    412.55/621.26 = 359.09/x
  3. Step 3: Cross multiply
    412.55x = 621.26 × 359.09
  4. Step 4: Simplify right side
    412.55x = 223,086.04
  5. Step 5: Solve for x
    x = 223,086.04/412.55
  6. Step 6: Final answer
    x = 540.76

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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.