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Finding the Fourth Proportional to 538.56, 803.92 and 498.44

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Solution

The fourth proportional to 538.56, 803.92 and 498.44 is: 744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 803.92 = 498.44 : x
  2. Step 2: Convert to fraction form
    538.56/803.92 = 498.44/x
  3. Step 3: Cross multiply
    538.56x = 803.92 × 498.44
  4. Step 4: Simplify right side
    538.56x = 400,705.88
  5. Step 5: Solve for x
    x = 400,705.88/538.56
  6. Step 6: Final answer
    x = 744.03

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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.