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Finding the Fourth Proportional to 930.45, 1,394.85 and 467.57

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Solution

The fourth proportional to 930.45, 1,394.85 and 467.57 is: 700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.45 : 1,394.85 = 467.57 : x
  2. Step 2: Convert to fraction form
    930.45/1,394.85 = 467.57/x
  3. Step 3: Cross multiply
    930.45x = 1,394.85 × 467.57
  4. Step 4: Simplify right side
    930.45x = 652,183.04
  5. Step 5: Solve for x
    x = 652,183.04/930.45
  6. Step 6: Final answer
    x = 700.93

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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.