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Finding the Fourth Proportional to 554.05, 828.54 and 415.34

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Solution

The fourth proportional to 554.05, 828.54 and 415.34 is: 621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.05 : 828.54 = 415.34 : x
  2. Step 2: Convert to fraction form
    554.05/828.54 = 415.34/x
  3. Step 3: Cross multiply
    554.05x = 828.54 × 415.34
  4. Step 4: Simplify right side
    554.05x = 344,121.66
  5. Step 5: Solve for x
    x = 344,121.66/554.05
  6. Step 6: Final answer
    x = 621.10

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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.