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Finding the Fourth Proportional to 943.02, 1,414.94 and 509.67

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Solution

The fourth proportional to 943.02, 1,414.94 and 509.67 is: 764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.02 : 1,414.94 = 509.67 : x
  2. Step 2: Convert to fraction form
    943.02/1,414.94 = 509.67/x
  3. Step 3: Cross multiply
    943.02x = 1,414.94 × 509.67
  4. Step 4: Simplify right side
    943.02x = 721,149.92
  5. Step 5: Solve for x
    x = 721,149.92/943.02
  6. Step 6: Final answer
    x = 764.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.