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Finding the Fourth Proportional to 496.49, 683.90 and 471.89

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Solution

The fourth proportional to 496.49, 683.90 and 471.89 is: 650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.49 : 683.90 = 471.89 : x
  2. Step 2: Convert to fraction form
    496.49/683.90 = 471.89/x
  3. Step 3: Cross multiply
    496.49x = 683.90 × 471.89
  4. Step 4: Simplify right side
    496.49x = 322,725.57
  5. Step 5: Solve for x
    x = 322,725.57/496.49
  6. Step 6: Final answer
    x = 650.01

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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.