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Finding the Fourth Proportional to 673.87, 1,012.02 and 643.09

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Solution

The fourth proportional to 673.87, 1,012.02 and 643.09 is: 965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.87 : 1,012.02 = 643.09 : x
  2. Step 2: Convert to fraction form
    673.87/1,012.02 = 643.09/x
  3. Step 3: Cross multiply
    673.87x = 1,012.02 × 643.09
  4. Step 4: Simplify right side
    673.87x = 650,819.94
  5. Step 5: Solve for x
    x = 650,819.94/673.87
  6. Step 6: Final answer
    x = 965.79

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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.