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Finding the Fourth Proportional to 667.10, 1,001.16 and 537.41

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Solution

The fourth proportional to 667.10, 1,001.16 and 537.41 is: 806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.10 : 1,001.16 = 537.41 : x
  2. Step 2: Convert to fraction form
    667.10/1,001.16 = 537.41/x
  3. Step 3: Cross multiply
    667.10x = 1,001.16 × 537.41
  4. Step 4: Simplify right side
    667.10x = 538,033.40
  5. Step 5: Solve for x
    x = 538,033.40/667.10
  6. Step 6: Final answer
    x = 806.53

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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.