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Finding the Fourth Proportional to 456.57, 683.96 and 398.12

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Solution

The fourth proportional to 456.57, 683.96 and 398.12 is: 596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 683.96 = 398.12 : x
  2. Step 2: Convert to fraction form
    456.57/683.96 = 398.12/x
  3. Step 3: Cross multiply
    456.57x = 683.96 × 398.12
  4. Step 4: Simplify right side
    456.57x = 272,292.74
  5. Step 5: Solve for x
    x = 272,292.74/456.57
  6. Step 6: Final answer
    x = 596.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.