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Finding the Fourth Proportional to 420.59, 634.33 and 415.99

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Solution

The fourth proportional to 420.59, 634.33 and 415.99 is: 627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.59 : 634.33 = 415.99 : x
  2. Step 2: Convert to fraction form
    420.59/634.33 = 415.99/x
  3. Step 3: Cross multiply
    420.59x = 634.33 × 415.99
  4. Step 4: Simplify right side
    420.59x = 263,872.68
  5. Step 5: Solve for x
    x = 263,872.68/420.59
  6. Step 6: Final answer
    x = 627.38

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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.