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Finding the Fourth Proportional to 553.05, 828.98 and 415.69

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Solution

The fourth proportional to 553.05, 828.98 and 415.69 is: 623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.05 : 828.98 = 415.69 : x
  2. Step 2: Convert to fraction form
    553.05/828.98 = 415.69/x
  3. Step 3: Cross multiply
    553.05x = 828.98 × 415.69
  4. Step 4: Simplify right side
    553.05x = 344,598.70
  5. Step 5: Solve for x
    x = 344,598.70/553.05
  6. Step 6: Final answer
    x = 623.09

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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.