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Finding the Fourth Proportional to 930.29, 1,394.21 and 765.05

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Solution

The fourth proportional to 930.29, 1,394.21 and 765.05 is: 1,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.29 : 1,394.21 = 765.05 : x
  2. Step 2: Convert to fraction form
    930.29/1,394.21 = 765.05/x
  3. Step 3: Cross multiply
    930.29x = 1,394.21 × 765.05
  4. Step 4: Simplify right side
    930.29x = 1,066,635.30
  5. Step 5: Solve for x
    x = 1,066,635.30/930.29
  6. Step 6: Final answer
    x = 1,146.57

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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.