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Finding the Fourth Proportional to 896.08, 1,236.82 and 547.06

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Solution

The fourth proportional to 896.08, 1,236.82 and 547.06 is: 755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.08 : 1,236.82 = 547.06 : x
  2. Step 2: Convert to fraction form
    896.08/1,236.82 = 547.06/x
  3. Step 3: Cross multiply
    896.08x = 1,236.82 × 547.06
  4. Step 4: Simplify right side
    896.08x = 676,614.75
  5. Step 5: Solve for x
    x = 676,614.75/896.08
  6. Step 6: Final answer
    x = 755.08

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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.