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Finding the Fourth Proportional to 943.17, 1,414.85 and 366.09

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Solution

The fourth proportional to 943.17, 1,414.85 and 366.09 is: 549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.17 : 1,414.85 = 366.09 : x
  2. Step 2: Convert to fraction form
    943.17/1,414.85 = 366.09/x
  3. Step 3: Cross multiply
    943.17x = 1,414.85 × 366.09
  4. Step 4: Simplify right side
    943.17x = 517,960.61
  5. Step 5: Solve for x
    x = 517,960.61/943.17
  6. Step 6: Final answer
    x = 549.17

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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.