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Finding the Fourth Proportional to 683.28, 943.16 and 434.61

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Solution

The fourth proportional to 683.28, 943.16 and 434.61 is: 599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.28 : 943.16 = 434.61 : x
  2. Step 2: Convert to fraction form
    683.28/943.16 = 434.61/x
  3. Step 3: Cross multiply
    683.28x = 943.16 × 434.61
  4. Step 4: Simplify right side
    683.28x = 409,904.59
  5. Step 5: Solve for x
    x = 409,904.59/683.28
  6. Step 6: Final answer
    x = 599.91

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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.