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Finding the Fourth Proportional to 538.46, 742.29 and 445.04

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Solution

The fourth proportional to 538.46, 742.29 and 445.04 is: 613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.46 : 742.29 = 445.04 : x
  2. Step 2: Convert to fraction form
    538.46/742.29 = 445.04/x
  3. Step 3: Cross multiply
    538.46x = 742.29 × 445.04
  4. Step 4: Simplify right side
    538.46x = 330,348.74
  5. Step 5: Solve for x
    x = 330,348.74/538.46
  6. Step 6: Final answer
    x = 613.51

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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.