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Finding the Fourth Proportional to 682.72, 940.80 and 475.36

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Solution

The fourth proportional to 682.72, 940.80 and 475.36 is: 655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.72 : 940.80 = 475.36 : x
  2. Step 2: Convert to fraction form
    682.72/940.80 = 475.36/x
  3. Step 3: Cross multiply
    682.72x = 940.80 × 475.36
  4. Step 4: Simplify right side
    682.72x = 447,218.69
  5. Step 5: Solve for x
    x = 447,218.69/682.72
  6. Step 6: Final answer
    x = 655.05

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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.