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Finding the Fourth Proportional to 943.46, 1,414.92 and 358.05

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Solution

The fourth proportional to 943.46, 1,414.92 and 358.05 is: 536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.46 : 1,414.92 = 358.05 : x
  2. Step 2: Convert to fraction form
    943.46/1,414.92 = 358.05/x
  3. Step 3: Cross multiply
    943.46x = 1,414.92 × 358.05
  4. Step 4: Simplify right side
    943.46x = 506,604.80
  5. Step 5: Solve for x
    x = 506,604.80/943.46
  6. Step 6: Final answer
    x = 536.96

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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.