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Finding the Fourth Proportional to 874.11, 1,206 and 538.14

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Solution

The fourth proportional to 874.11, 1,206 and 538.14 is: 742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.11 : 1,206 = 538.14 : x
  2. Step 2: Convert to fraction form
    874.11/1,206 = 538.14/x
  3. Step 3: Cross multiply
    874.11x = 1,206 × 538.14
  4. Step 4: Simplify right side
    874.11x = 648,996.84
  5. Step 5: Solve for x
    x = 648,996.84/874.11
  6. Step 6: Final answer
    x = 742.47

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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.