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Finding the Fourth Proportional to 762.42, 1,052.15 and 447.67

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Solution

The fourth proportional to 762.42, 1,052.15 and 447.67 is: 617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.42 : 1,052.15 = 447.67 : x
  2. Step 2: Convert to fraction form
    762.42/1,052.15 = 447.67/x
  3. Step 3: Cross multiply
    762.42x = 1,052.15 × 447.67
  4. Step 4: Simplify right side
    762.42x = 471,015.99
  5. Step 5: Solve for x
    x = 471,015.99/762.42
  6. Step 6: Final answer
    x = 617.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.