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Finding the Fourth Proportional to 896.03, 1,236.22 and 542.06

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Solution

The fourth proportional to 896.03, 1,236.22 and 542.06 is: 747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.03 : 1,236.22 = 542.06 : x
  2. Step 2: Convert to fraction form
    896.03/1,236.22 = 542.06/x
  3. Step 3: Cross multiply
    896.03x = 1,236.22 × 542.06
  4. Step 4: Simplify right side
    896.03x = 670,105.41
  5. Step 5: Solve for x
    x = 670,105.41/896.03
  6. Step 6: Final answer
    x = 747.86

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1.5x scale

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.