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Finding the Fourth Proportional to 554.50, 827.64 and 416.90

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Solution

The fourth proportional to 554.50, 827.64 and 416.90 is: 622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.50 : 827.64 = 416.90 : x
  2. Step 2: Convert to fraction form
    554.50/827.64 = 416.90/x
  3. Step 3: Cross multiply
    554.50x = 827.64 × 416.90
  4. Step 4: Simplify right side
    554.50x = 345,041.70
  5. Step 5: Solve for x
    x = 345,041.70/554.50
  6. Step 6: Final answer
    x = 622.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.