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Finding the Fourth Proportional to 876.64, 1,313.79 and 328.27

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Solution

The fourth proportional to 876.64, 1,313.79 and 328.27 is: 491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.64 : 1,313.79 = 328.27 : x
  2. Step 2: Convert to fraction form
    876.64/1,313.79 = 328.27/x
  3. Step 3: Cross multiply
    876.64x = 1,313.79 × 328.27
  4. Step 4: Simplify right side
    876.64x = 431,274.56
  5. Step 5: Solve for x
    x = 431,274.56/876.64
  6. Step 6: Final answer
    x = 491.96

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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.