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Finding the Fourth Proportional to 869.57, 1,199.39 and 538.16

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Solution

The fourth proportional to 869.57, 1,199.39 and 538.16 is: 742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.57 : 1,199.39 = 538.16 : x
  2. Step 2: Convert to fraction form
    869.57/1,199.39 = 538.16/x
  3. Step 3: Cross multiply
    869.57x = 1,199.39 × 538.16
  4. Step 4: Simplify right side
    869.57x = 645,463.72
  5. Step 5: Solve for x
    x = 645,463.72/869.57
  6. Step 6: Final answer
    x = 742.28

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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.