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Finding the Fourth Proportional to 496.59, 744.26 and 253.19

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Solution

The fourth proportional to 496.59, 744.26 and 253.19 is: 379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.59 : 744.26 = 253.19 : x
  2. Step 2: Convert to fraction form
    496.59/744.26 = 253.19/x
  3. Step 3: Cross multiply
    496.59x = 744.26 × 253.19
  4. Step 4: Simplify right side
    496.59x = 188,434.20
  5. Step 5: Solve for x
    x = 188,434.20/496.59
  6. Step 6: Final answer
    x = 379.46

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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.