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Finding the Fourth Proportional to 553.86, 828.25 and 415.13

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Solution

The fourth proportional to 553.86, 828.25 and 415.13 is: 620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 828.25 = 415.13 : x
  2. Step 2: Convert to fraction form
    553.86/828.25 = 415.13/x
  3. Step 3: Cross multiply
    553.86x = 828.25 × 415.13
  4. Step 4: Simplify right side
    553.86x = 343,826.24
  5. Step 5: Solve for x
    x = 343,826.24/553.86
  6. Step 6: Final answer
    x = 620.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.