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Finding the Fourth Proportional to 667.04, 1,000.82 and 656.10

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Solution

The fourth proportional to 667.04, 1,000.82 and 656.10 is: 984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.04 : 1,000.82 = 656.10 : x
  2. Step 2: Convert to fraction form
    667.04/1,000.82 = 656.10/x
  3. Step 3: Cross multiply
    667.04x = 1,000.82 × 656.10
  4. Step 4: Simplify right side
    667.04x = 656,639.64
  5. Step 5: Solve for x
    x = 656,639.64/667.04
  6. Step 6: Final answer
    x = 984.42

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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.