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Finding the Fourth Proportional to 471.56, 655.13 and 467.34

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Solution

The fourth proportional to 471.56, 655.13 and 467.34 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.56 : 655.13 = 467.34 : x
  2. Step 2: Convert to fraction form
    471.56/655.13 = 467.34/x
  3. Step 3: Cross multiply
    471.56x = 655.13 × 467.34
  4. Step 4: Simplify right side
    471.56x = 306,168.45
  5. Step 5: Solve for x
    x = 306,168.45/471.56
  6. Step 6: Final answer
    x = 649.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.