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Finding the Fourth Proportional to 494.85, 683.03 and 317.93

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Solution

The fourth proportional to 494.85, 683.03 and 317.93 is: 438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.85 : 683.03 = 317.93 : x
  2. Step 2: Convert to fraction form
    494.85/683.03 = 317.93/x
  3. Step 3: Cross multiply
    494.85x = 683.03 × 317.93
  4. Step 4: Simplify right side
    494.85x = 217,155.85
  5. Step 5: Solve for x
    x = 217,155.85/494.85
  6. Step 6: Final answer
    x = 438.83

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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.