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Finding the Fourth Proportional to 494.96, 683.08 and 285.12

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Solution

The fourth proportional to 494.96, 683.08 and 285.12 is: 393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.96 : 683.08 = 285.12 : x
  2. Step 2: Convert to fraction form
    494.96/683.08 = 285.12/x
  3. Step 3: Cross multiply
    494.96x = 683.08 × 285.12
  4. Step 4: Simplify right side
    494.96x = 194,759.77
  5. Step 5: Solve for x
    x = 194,759.77/494.96
  6. Step 6: Final answer
    x = 393.49

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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.