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Finding the Fourth Proportional to 554.85, 825.12 and 537.57

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Solution

The fourth proportional to 554.85, 825.12 and 537.57 is: 799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.85 : 825.12 = 537.57 : x
  2. Step 2: Convert to fraction form
    554.85/825.12 = 537.57/x
  3. Step 3: Cross multiply
    554.85x = 825.12 × 537.57
  4. Step 4: Simplify right side
    554.85x = 443,559.76
  5. Step 5: Solve for x
    x = 443,559.76/554.85
  6. Step 6: Final answer
    x = 799.42

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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.