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Finding the Fourth Proportional to 849.12, 1,171.44 and 534.27

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Solution

The fourth proportional to 849.12, 1,171.44 and 534.27 is: 737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.12 : 1,171.44 = 534.27 : x
  2. Step 2: Convert to fraction form
    849.12/1,171.44 = 534.27/x
  3. Step 3: Cross multiply
    849.12x = 1,171.44 × 534.27
  4. Step 4: Simplify right side
    849.12x = 625,865.25
  5. Step 5: Solve for x
    x = 625,865.25/849.12
  6. Step 6: Final answer
    x = 737.08

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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.