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Finding the Fourth Proportional to 930.19, 1,394.75 and 352.75

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Solution

The fourth proportional to 930.19, 1,394.75 and 352.75 is: 528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.19 : 1,394.75 = 352.75 : x
  2. Step 2: Convert to fraction form
    930.19/1,394.75 = 352.75/x
  3. Step 3: Cross multiply
    930.19x = 1,394.75 × 352.75
  4. Step 4: Simplify right side
    930.19x = 491,996.30
  5. Step 5: Solve for x
    x = 491,996.30/930.19
  6. Step 6: Final answer
    x = 528.92

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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.