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Finding the Fourth Proportional to 471.58, 650.34 and 305.84

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Solution

The fourth proportional to 471.58, 650.34 and 305.84 is: 421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.58 : 650.34 = 305.84 : x
  2. Step 2: Convert to fraction form
    471.58/650.34 = 305.84/x
  3. Step 3: Cross multiply
    471.58x = 650.34 × 305.84
  4. Step 4: Simplify right side
    471.58x = 198,899.99
  5. Step 5: Solve for x
    x = 198,899.99/471.58
  6. Step 6: Final answer
    x = 421.77

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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.