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Finding the Fourth Proportional to 419.69, 626.89 and 412

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Solution

The fourth proportional to 419.69, 626.89 and 412 is: 615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 626.89 = 412 : x
  2. Step 2: Convert to fraction form
    419.69/626.89 = 412/x
  3. Step 3: Cross multiply
    419.69x = 626.89 × 412
  4. Step 4: Simplify right side
    419.69x = 258,278.68
  5. Step 5: Solve for x
    x = 258,278.68/419.69
  6. Step 6: Final answer
    x = 615.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.