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Finding the Fourth Proportional to 419.08, 633.07 and 415.48

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Solution

The fourth proportional to 419.08, 633.07 and 415.48 is: 627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.08 : 633.07 = 415.48 : x
  2. Step 2: Convert to fraction form
    419.08/633.07 = 415.48/x
  3. Step 3: Cross multiply
    419.08x = 633.07 × 415.48
  4. Step 4: Simplify right side
    419.08x = 263,027.92
  5. Step 5: Solve for x
    x = 263,027.92/419.08
  6. Step 6: Final answer
    x = 627.63

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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.