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Finding the Fourth Proportional to 872.37, 1,202.70 and 747.49

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Solution

The fourth proportional to 872.37, 1,202.70 and 747.49 is: 1,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.37 : 1,202.70 = 747.49 : x
  2. Step 2: Convert to fraction form
    872.37/1,202.70 = 747.49/x
  3. Step 3: Cross multiply
    872.37x = 1,202.70 × 747.49
  4. Step 4: Simplify right side
    872.37x = 899,006.22
  5. Step 5: Solve for x
    x = 899,006.22/872.37
  6. Step 6: Final answer
    x = 1,030.53

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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.