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Finding the Fourth Proportional to 475.20, 712.19 and 454.75

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Solution

The fourth proportional to 475.20, 712.19 and 454.75 is: 681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 712.19 = 454.75 : x
  2. Step 2: Convert to fraction form
    475.20/712.19 = 454.75/x
  3. Step 3: Cross multiply
    475.20x = 712.19 × 454.75
  4. Step 4: Simplify right side
    475.20x = 323,867.76
  5. Step 5: Solve for x
    x = 323,867.76/475.20
  6. Step 6: Final answer
    x = 681.54

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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.