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Finding the Fourth Proportional to 843.37, 1,164.03 and 548.12

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Solution

The fourth proportional to 843.37, 1,164.03 and 548.12 is: 756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.37 : 1,164.03 = 548.12 : x
  2. Step 2: Convert to fraction form
    843.37/1,164.03 = 548.12/x
  3. Step 3: Cross multiply
    843.37x = 1,164.03 × 548.12
  4. Step 4: Simplify right side
    843.37x = 638,028.12
  5. Step 5: Solve for x
    x = 638,028.12/843.37
  6. Step 6: Final answer
    x = 756.53

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1.5x scale

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.