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Finding the Fourth Proportional to 953.86, 1,429.56 and 943.54

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Solution

The fourth proportional to 953.86, 1,429.56 and 943.54 is: 1,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.86 : 1,429.56 = 943.54 : x
  2. Step 2: Convert to fraction form
    953.86/1,429.56 = 943.54/x
  3. Step 3: Cross multiply
    953.86x = 1,429.56 × 943.54
  4. Step 4: Simplify right side
    953.86x = 1,348,847.04
  5. Step 5: Solve for x
    x = 1,348,847.04/953.86
  6. Step 6: Final answer
    x = 1,414.09

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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.