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Finding the Fourth Proportional to 420.46, 626 and 414.39

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Solution

The fourth proportional to 420.46, 626 and 414.39 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.46 : 626 = 414.39 : x
  2. Step 2: Convert to fraction form
    420.46/626 = 414.39/x
  3. Step 3: Cross multiply
    420.46x = 626 × 414.39
  4. Step 4: Simplify right side
    420.46x = 259,408.14
  5. Step 5: Solve for x
    x = 259,408.14/420.46
  6. Step 6: Final answer
    x = 616.96

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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.