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Finding the Fourth Proportional to 419.83, 628.71 and 338.83

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Solution

The fourth proportional to 419.83, 628.71 and 338.83 is: 507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.83 : 628.71 = 338.83 : x
  2. Step 2: Convert to fraction form
    419.83/628.71 = 338.83/x
  3. Step 3: Cross multiply
    419.83x = 628.71 × 338.83
  4. Step 4: Simplify right side
    419.83x = 213,025.81
  5. Step 5: Solve for x
    x = 213,025.81/419.83
  6. Step 6: Final answer
    x = 507.41

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Why These Related Problems?

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