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Finding the Fourth Proportional to 930.92, 1,394.35 and 805.88

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Solution

The fourth proportional to 930.92, 1,394.35 and 805.88 is: 1,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.92 : 1,394.35 = 805.88 : x
  2. Step 2: Convert to fraction form
    930.92/1,394.35 = 805.88/x
  3. Step 3: Cross multiply
    930.92x = 1,394.35 × 805.88
  4. Step 4: Simplify right side
    930.92x = 1,123,680.25
  5. Step 5: Solve for x
    x = 1,123,680.25/930.92
  6. Step 6: Final answer
    x = 1,207.07

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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.