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Finding the Fourth Proportional to 684.74, 944.11 and 475.09

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Solution

The fourth proportional to 684.74, 944.11 and 475.09 is: 655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.74 : 944.11 = 475.09 : x
  2. Step 2: Convert to fraction form
    684.74/944.11 = 475.09/x
  3. Step 3: Cross multiply
    684.74x = 944.11 × 475.09
  4. Step 4: Simplify right side
    684.74x = 448,542.10
  5. Step 5: Solve for x
    x = 448,542.10/684.74
  6. Step 6: Final answer
    x = 655.06

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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.