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Finding the Fourth Proportional to 876, 1,313.10 and 388.56

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Solution

The fourth proportional to 876, 1,313.10 and 388.56 is: 582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    876 : 1,313.10 = 388.56 : x
  2. Step 2: Convert to fraction form
    876/1,313.10 = 388.56/x
  3. Step 3: Cross multiply
    876x = 1,313.10 × 388.56
  4. Step 4: Simplify right side
    876x = 510,218.14
  5. Step 5: Solve for x
    x = 510,218.14/876
  6. Step 6: Final answer
    x = 582.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.