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Finding the Fourth Proportional to 667.46, 1,007.01 and 665.66

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Solution

The fourth proportional to 667.46, 1,007.01 and 665.66 is: 1,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.46 : 1,007.01 = 665.66 : x
  2. Step 2: Convert to fraction form
    667.46/1,007.01 = 665.66/x
  3. Step 3: Cross multiply
    667.46x = 1,007.01 × 665.66
  4. Step 4: Simplify right side
    667.46x = 670,326.28
  5. Step 5: Solve for x
    x = 670,326.28/667.46
  6. Step 6: Final answer
    x = 1,004.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.