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Finding the Fourth Proportional to 554.54, 830.01 and 408.26

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Solution

The fourth proportional to 554.54, 830.01 and 408.26 is: 611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.54 : 830.01 = 408.26 : x
  2. Step 2: Convert to fraction form
    554.54/830.01 = 408.26/x
  3. Step 3: Cross multiply
    554.54x = 830.01 × 408.26
  4. Step 4: Simplify right side
    554.54x = 338,857.67
  5. Step 5: Solve for x
    x = 338,857.67/554.54
  6. Step 6: Final answer
    x = 611.06

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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.