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Finding the Fourth Proportional to 456.90, 683.88 and 334.58

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Solution

The fourth proportional to 456.90, 683.88 and 334.58 is: 500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 683.88 = 334.58 : x
  2. Step 2: Convert to fraction form
    456.90/683.88 = 334.58/x
  3. Step 3: Cross multiply
    456.90x = 683.88 × 334.58
  4. Step 4: Simplify right side
    456.90x = 228,812.57
  5. Step 5: Solve for x
    x = 228,812.57/456.90
  6. Step 6: Final answer
    x = 500.79

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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.