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Finding the Fourth Proportional to 544.01, 749.23 and 505.73

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Solution

The fourth proportional to 544.01, 749.23 and 505.73 is: 696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.01 : 749.23 = 505.73 : x
  2. Step 2: Convert to fraction form
    544.01/749.23 = 505.73/x
  3. Step 3: Cross multiply
    544.01x = 749.23 × 505.73
  4. Step 4: Simplify right side
    544.01x = 378,908.70
  5. Step 5: Solve for x
    x = 378,908.70/544.01
  6. Step 6: Final answer
    x = 696.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.