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Finding the Fourth Proportional to 930.35, 1,394.62 and 519.84

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Solution

The fourth proportional to 930.35, 1,394.62 and 519.84 is: 779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.35 : 1,394.62 = 519.84 : x
  2. Step 2: Convert to fraction form
    930.35/1,394.62 = 519.84/x
  3. Step 3: Cross multiply
    930.35x = 1,394.62 × 519.84
  4. Step 4: Simplify right side
    930.35x = 724,972.73
  5. Step 5: Solve for x
    x = 724,972.73/930.35
  6. Step 6: Final answer
    x = 779.25

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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.