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Finding the Fourth Proportional to 829.46, 1,142.97 and 641.81

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Solution

The fourth proportional to 829.46, 1,142.97 and 641.81 is: 884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.46 : 1,142.97 = 641.81 : x
  2. Step 2: Convert to fraction form
    829.46/1,142.97 = 641.81/x
  3. Step 3: Cross multiply
    829.46x = 1,142.97 × 641.81
  4. Step 4: Simplify right side
    829.46x = 733,569.58
  5. Step 5: Solve for x
    x = 733,569.58/829.46
  6. Step 6: Final answer
    x = 884.39

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1.5x scale

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.