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Finding the Fourth Proportional to 764.03, 1,052.80 and 629.78

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Solution

The fourth proportional to 764.03, 1,052.80 and 629.78 is: 867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.03 : 1,052.80 = 629.78 : x
  2. Step 2: Convert to fraction form
    764.03/1,052.80 = 629.78/x
  3. Step 3: Cross multiply
    764.03x = 1,052.80 × 629.78
  4. Step 4: Simplify right side
    764.03x = 663,025.55
  5. Step 5: Solve for x
    x = 663,025.55/764.03
  6. Step 6: Final answer
    x = 867.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.