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Finding the Fourth Proportional to 764.56, 1,053.57 and 647.92

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Solution

The fourth proportional to 764.56, 1,053.57 and 647.92 is: 892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.56 : 1,053.57 = 647.92 : x
  2. Step 2: Convert to fraction form
    764.56/1,053.57 = 647.92/x
  3. Step 3: Cross multiply
    764.56x = 1,053.57 × 647.92
  4. Step 4: Simplify right side
    764.56x = 682,629.07
  5. Step 5: Solve for x
    x = 682,629.07/764.56
  6. Step 6: Final answer
    x = 892.84

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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.