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Finding the Fourth Proportional to 496.43, 683.51 and 421.58

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Solution

The fourth proportional to 496.43, 683.51 and 421.58 is: 580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.43 : 683.51 = 421.58 : x
  2. Step 2: Convert to fraction form
    496.43/683.51 = 421.58/x
  3. Step 3: Cross multiply
    496.43x = 683.51 × 421.58
  4. Step 4: Simplify right side
    496.43x = 288,154.05
  5. Step 5: Solve for x
    x = 288,154.05/496.43
  6. Step 6: Final answer
    x = 580.46

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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.