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Finding the Fourth Proportional to 475.12, 712.68 and 313.82

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Solution

The fourth proportional to 475.12, 712.68 and 313.82 is: 470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.12 : 712.68 = 313.82 : x
  2. Step 2: Convert to fraction form
    475.12/712.68 = 313.82/x
  3. Step 3: Cross multiply
    475.12x = 712.68 × 313.82
  4. Step 4: Simplify right side
    475.12x = 223,653.24
  5. Step 5: Solve for x
    x = 223,653.24/475.12
  6. Step 6: Final answer
    x = 470.73

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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.