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Finding the Fourth Proportional to 869.02, 1,199.31 and 537.27

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Solution

The fourth proportional to 869.02, 1,199.31 and 537.27 is: 741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.02 : 1,199.31 = 537.27 : x
  2. Step 2: Convert to fraction form
    869.02/1,199.31 = 537.27/x
  3. Step 3: Cross multiply
    869.02x = 1,199.31 × 537.27
  4. Step 4: Simplify right side
    869.02x = 644,353.28
  5. Step 5: Solve for x
    x = 644,353.28/869.02
  6. Step 6: Final answer
    x = 741.47

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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.