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Finding the Fourth Proportional to 683.83, 943.30 and 474.13

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Solution

The fourth proportional to 683.83, 943.30 and 474.13 is: 654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.83 : 943.30 = 474.13 : x
  2. Step 2: Convert to fraction form
    683.83/943.30 = 474.13/x
  3. Step 3: Cross multiply
    683.83x = 943.30 × 474.13
  4. Step 4: Simplify right side
    683.83x = 447,245.66
  5. Step 5: Solve for x
    x = 447,245.66/683.83
  6. Step 6: Final answer
    x = 654.03

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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.