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Finding the Fourth Proportional to 667.05, 998.28 and 460.23

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Solution

The fourth proportional to 667.05, 998.28 and 460.23 is: 688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.05 : 998.28 = 460.23 : x
  2. Step 2: Convert to fraction form
    667.05/998.28 = 460.23/x
  3. Step 3: Cross multiply
    667.05x = 998.28 × 460.23
  4. Step 4: Simplify right side
    667.05x = 459,438.40
  5. Step 5: Solve for x
    x = 459,438.40/667.05
  6. Step 6: Final answer
    x = 688.76

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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.