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Finding the Fourth Proportional to 508.12, 762.21 and 447.67

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Solution

The fourth proportional to 508.12, 762.21 and 447.67 is: 671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.12 : 762.21 = 447.67 : x
  2. Step 2: Convert to fraction form
    508.12/762.21 = 447.67/x
  3. Step 3: Cross multiply
    508.12x = 762.21 × 447.67
  4. Step 4: Simplify right side
    508.12x = 341,214.74
  5. Step 5: Solve for x
    x = 341,214.74/508.12
  6. Step 6: Final answer
    x = 671.53

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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.