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Finding the Fourth Proportional to 499.21, 689.39 and 471.94

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Solution

The fourth proportional to 499.21, 689.39 and 471.94 is: 651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.21 : 689.39 = 471.94 : x
  2. Step 2: Convert to fraction form
    499.21/689.39 = 471.94/x
  3. Step 3: Cross multiply
    499.21x = 689.39 × 471.94
  4. Step 4: Simplify right side
    499.21x = 325,348.36
  5. Step 5: Solve for x
    x = 325,348.36/499.21
  6. Step 6: Final answer
    x = 651.73

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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.