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Finding the Fourth Proportional to 415.83, 628.16 and 412.49

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Solution

The fourth proportional to 415.83, 628.16 and 412.49 is: 623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.83 : 628.16 = 412.49 : x
  2. Step 2: Convert to fraction form
    415.83/628.16 = 412.49/x
  3. Step 3: Cross multiply
    415.83x = 628.16 × 412.49
  4. Step 4: Simplify right side
    415.83x = 259,109.23
  5. Step 5: Solve for x
    x = 259,109.23/415.83
  6. Step 6: Final answer
    x = 623.11

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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.