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Finding the Fourth Proportional to 538.42, 742.84 and 372.58

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Solution

The fourth proportional to 538.42, 742.84 and 372.58 is: 514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.42 : 742.84 = 372.58 : x
  2. Step 2: Convert to fraction form
    538.42/742.84 = 372.58/x
  3. Step 3: Cross multiply
    538.42x = 742.84 × 372.58
  4. Step 4: Simplify right side
    538.42x = 276,767.33
  5. Step 5: Solve for x
    x = 276,767.33/538.42
  6. Step 6: Final answer
    x = 514.04

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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.