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Finding the Fourth Proportional to 943.02, 1,414.98 and 455.80

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Solution

The fourth proportional to 943.02, 1,414.98 and 455.80 is: 683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.02 : 1,414.98 = 455.80 : x
  2. Step 2: Convert to fraction form
    943.02/1,414.98 = 455.80/x
  3. Step 3: Cross multiply
    943.02x = 1,414.98 × 455.80
  4. Step 4: Simplify right side
    943.02x = 644,947.88
  5. Step 5: Solve for x
    x = 644,947.88/943.02
  6. Step 6: Final answer
    x = 683.92

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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.