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Finding the Fourth Proportional to 930.35, 1,280.50 and 743.24

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Solution

The fourth proportional to 930.35, 1,280.50 and 743.24 is: 1,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.35 : 1,280.50 = 743.24 : x
  2. Step 2: Convert to fraction form
    930.35/1,280.50 = 743.24/x
  3. Step 3: Cross multiply
    930.35x = 1,280.50 × 743.24
  4. Step 4: Simplify right side
    930.35x = 951,720.16
  5. Step 5: Solve for x
    x = 951,720.16/930.35
  6. Step 6: Final answer
    x = 1,022.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.