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Finding the Fourth Proportional to 890.96, 1,336.50 and 343.15

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Solution

The fourth proportional to 890.96, 1,336.50 and 343.15 is: 514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.96 : 1,336.50 = 343.15 : x
  2. Step 2: Convert to fraction form
    890.96/1,336.50 = 343.15/x
  3. Step 3: Cross multiply
    890.96x = 1,336.50 × 343.15
  4. Step 4: Simplify right side
    890.96x = 458,613.27
  5. Step 5: Solve for x
    x = 458,613.27/890.96
  6. Step 6: Final answer
    x = 514.74

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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.