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Finding the Fourth Proportional to 891.10, 1,335.70 and 343.05

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Solution

The fourth proportional to 891.10, 1,335.70 and 343.05 is: 514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.10 : 1,335.70 = 343.05 : x
  2. Step 2: Convert to fraction form
    891.10/1,335.70 = 343.05/x
  3. Step 3: Cross multiply
    891.10x = 1,335.70 × 343.05
  4. Step 4: Simplify right side
    891.10x = 458,211.89
  5. Step 5: Solve for x
    x = 458,211.89/891.10
  6. Step 6: Final answer
    x = 514.21

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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.