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Finding the Fourth Proportional to 683.68, 943.40 and 403.92

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Solution

The fourth proportional to 683.68, 943.40 and 403.92 is: 557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.68 : 943.40 = 403.92 : x
  2. Step 2: Convert to fraction form
    683.68/943.40 = 403.92/x
  3. Step 3: Cross multiply
    683.68x = 943.40 × 403.92
  4. Step 4: Simplify right side
    683.68x = 381,058.13
  5. Step 5: Solve for x
    x = 381,058.13/683.68
  6. Step 6: Final answer
    x = 557.36

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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.