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Finding the Fourth Proportional to 554.04, 827.67 and 398.64

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Solution

The fourth proportional to 554.04, 827.67 and 398.64 is: 595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.04 : 827.67 = 398.64 : x
  2. Step 2: Convert to fraction form
    554.04/827.67 = 398.64/x
  3. Step 3: Cross multiply
    554.04x = 827.67 × 398.64
  4. Step 4: Simplify right side
    554.04x = 329,942.37
  5. Step 5: Solve for x
    x = 329,942.37/554.04
  6. Step 6: Final answer
    x = 595.52

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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.