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Finding the Fourth Proportional to 870, 1,199.52 and 712.44

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Solution

The fourth proportional to 870, 1,199.52 and 712.44 is: 982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    870 : 1,199.52 = 712.44 : x
  2. Step 2: Convert to fraction form
    870/1,199.52 = 712.44/x
  3. Step 3: Cross multiply
    870x = 1,199.52 × 712.44
  4. Step 4: Simplify right side
    870x = 854,586.03
  5. Step 5: Solve for x
    x = 854,586.03/870
  6. Step 6: Final answer
    x = 982.28

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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.