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Finding the Fourth Proportional to 683.48, 943.11 and 384.73

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Solution

The fourth proportional to 683.48, 943.11 and 384.73 is: 530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.48 : 943.11 = 384.73 : x
  2. Step 2: Convert to fraction form
    683.48/943.11 = 384.73/x
  3. Step 3: Cross multiply
    683.48x = 943.11 × 384.73
  4. Step 4: Simplify right side
    683.48x = 362,840.35
  5. Step 5: Solve for x
    x = 362,840.35/683.48
  6. Step 6: Final answer
    x = 530.87

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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.