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Finding the Fourth Proportional to 929.10, 1,283.41 and 743.92

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Solution

The fourth proportional to 929.10, 1,283.41 and 743.92 is: 1,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.10 : 1,283.41 = 743.92 : x
  2. Step 2: Convert to fraction form
    929.10/1,283.41 = 743.92/x
  3. Step 3: Cross multiply
    929.10x = 1,283.41 × 743.92
  4. Step 4: Simplify right side
    929.10x = 954,752.09
  5. Step 5: Solve for x
    x = 954,752.09/929.10
  6. Step 6: Final answer
    x = 1,027.61

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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.