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Finding the Fourth Proportional to 764.09, 1,057.22 and 666.05

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Solution

The fourth proportional to 764.09, 1,057.22 and 666.05 is: 921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.09 : 1,057.22 = 666.05 : x
  2. Step 2: Convert to fraction form
    764.09/1,057.22 = 666.05/x
  3. Step 3: Cross multiply
    764.09x = 1,057.22 × 666.05
  4. Step 4: Simplify right side
    764.09x = 704,152.76
  5. Step 5: Solve for x
    x = 704,152.76/764.09
  6. Step 6: Final answer
    x = 921.56

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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.