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Finding the Fourth Proportional to 683.18, 943.57 and 497.49

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Solution

The fourth proportional to 683.18, 943.57 and 497.49 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.18 : 943.57 = 497.49 : x
  2. Step 2: Convert to fraction form
    683.18/943.57 = 497.49/x
  3. Step 3: Cross multiply
    683.18x = 943.57 × 497.49
  4. Step 4: Simplify right side
    683.18x = 469,414.15
  5. Step 5: Solve for x
    x = 469,414.15/683.18
  6. Step 6: Final answer
    x = 687.11

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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.