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Finding the Fourth Proportional to 412.96, 621.83 and 298.19

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Solution

The fourth proportional to 412.96, 621.83 and 298.19 is: 449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.96 : 621.83 = 298.19 : x
  2. Step 2: Convert to fraction form
    412.96/621.83 = 298.19/x
  3. Step 3: Cross multiply
    412.96x = 621.83 × 298.19
  4. Step 4: Simplify right side
    412.96x = 185,421.12
  5. Step 5: Solve for x
    x = 185,421.12/412.96
  6. Step 6: Final answer
    x = 449.01

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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.