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Finding the Fourth Proportional to 496.58, 683.61 and 431.78

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Solution

The fourth proportional to 496.58, 683.61 and 431.78 is: 594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.58 : 683.61 = 431.78 : x
  2. Step 2: Convert to fraction form
    496.58/683.61 = 431.78/x
  3. Step 3: Cross multiply
    496.58x = 683.61 × 431.78
  4. Step 4: Simplify right side
    496.58x = 295,169.13
  5. Step 5: Solve for x
    x = 295,169.13/496.58
  6. Step 6: Final answer
    x = 594.40

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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.