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Finding the Fourth Proportional to 494.51, 742.03 and 371.93

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Solution

The fourth proportional to 494.51, 742.03 and 371.93 is: 558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.51 : 742.03 = 371.93 : x
  2. Step 2: Convert to fraction form
    494.51/742.03 = 371.93/x
  3. Step 3: Cross multiply
    494.51x = 742.03 × 371.93
  4. Step 4: Simplify right side
    494.51x = 275,983.22
  5. Step 5: Solve for x
    x = 275,983.22/494.51
  6. Step 6: Final answer
    x = 558.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.