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Finding the Fourth Proportional to 501.94, 749.06 and 447.27

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Solution

The fourth proportional to 501.94, 749.06 and 447.27 is: 667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.94 : 749.06 = 447.27 : x
  2. Step 2: Convert to fraction form
    501.94/749.06 = 447.27/x
  3. Step 3: Cross multiply
    501.94x = 749.06 × 447.27
  4. Step 4: Simplify right side
    501.94x = 335,032.07
  5. Step 5: Solve for x
    x = 335,032.07/501.94
  6. Step 6: Final answer
    x = 667.47

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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.