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Finding the Fourth Proportional to 930.10, 1,394.24 and 344.94

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Solution

The fourth proportional to 930.10, 1,394.24 and 344.94 is: 517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.10 : 1,394.24 = 344.94 : x
  2. Step 2: Convert to fraction form
    930.10/1,394.24 = 344.94/x
  3. Step 3: Cross multiply
    930.10x = 1,394.24 × 344.94
  4. Step 4: Simplify right side
    930.10x = 480,929.15
  5. Step 5: Solve for x
    x = 480,929.15/930.10
  6. Step 6: Final answer
    x = 517.07

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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.