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Finding the Fourth Proportional to 930.94, 1,396.74 and 520.43

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Solution

The fourth proportional to 930.94, 1,396.74 and 520.43 is: 780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.94 : 1,396.74 = 520.43 : x
  2. Step 2: Convert to fraction form
    930.94/1,396.74 = 520.43/x
  3. Step 3: Cross multiply
    930.94x = 1,396.74 × 520.43
  4. Step 4: Simplify right side
    930.94x = 726,900.37
  5. Step 5: Solve for x
    x = 726,900.37/930.94
  6. Step 6: Final answer
    x = 780.82

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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.