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Finding the Fourth Proportional to 890.64, 1,336.23 and 343.08

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Solution

The fourth proportional to 890.64, 1,336.23 and 343.08 is: 514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.64 : 1,336.23 = 343.08 : x
  2. Step 2: Convert to fraction form
    890.64/1,336.23 = 343.08/x
  3. Step 3: Cross multiply
    890.64x = 1,336.23 × 343.08
  4. Step 4: Simplify right side
    890.64x = 458,433.79
  5. Step 5: Solve for x
    x = 458,433.79/890.64
  6. Step 6: Final answer
    x = 514.72

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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.