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Finding the Fourth Proportional to 869.94, 1,200.56 and 538.70

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Solution

The fourth proportional to 869.94, 1,200.56 and 538.70 is: 743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.94 : 1,200.56 = 538.70 : x
  2. Step 2: Convert to fraction form
    869.94/1,200.56 = 538.70/x
  3. Step 3: Cross multiply
    869.94x = 1,200.56 × 538.70
  4. Step 4: Simplify right side
    869.94x = 646,732.98
  5. Step 5: Solve for x
    x = 646,732.98/869.94
  6. Step 6: Final answer
    x = 743.42

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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.