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Finding the Fourth Proportional to 896.46, 1,236.70 and 547.35

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Solution

The fourth proportional to 896.46, 1,236.70 and 547.35 is: 755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.46 : 1,236.70 = 547.35 : x
  2. Step 2: Convert to fraction form
    896.46/1,236.70 = 547.35/x
  3. Step 3: Cross multiply
    896.46x = 1,236.70 × 547.35
  4. Step 4: Simplify right side
    896.46x = 676,907.75
  5. Step 5: Solve for x
    x = 676,907.75/896.46
  6. Step 6: Final answer
    x = 755.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.