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Finding the Fourth Proportional to 647, 892.26 and 499.40

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Solution

The fourth proportional to 647, 892.26 and 499.40 is: 688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647 : 892.26 = 499.40 : x
  2. Step 2: Convert to fraction form
    647/892.26 = 499.40/x
  3. Step 3: Cross multiply
    647x = 892.26 × 499.40
  4. Step 4: Simplify right side
    647x = 445,594.64
  5. Step 5: Solve for x
    x = 445,594.64/647
  6. Step 6: Final answer
    x = 688.71

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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.