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Finding the Fourth Proportional to 486.28, 728.34 and 475.48

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Solution

The fourth proportional to 486.28, 728.34 and 475.48 is: 712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.28 : 728.34 = 475.48 : x
  2. Step 2: Convert to fraction form
    486.28/728.34 = 475.48/x
  3. Step 3: Cross multiply
    486.28x = 728.34 × 475.48
  4. Step 4: Simplify right side
    486.28x = 346,311.10
  5. Step 5: Solve for x
    x = 346,311.10/486.28
  6. Step 6: Final answer
    x = 712.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.