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Finding the Fourth Proportional to 876.25, 1,313.96 and 328.08

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Solution

The fourth proportional to 876.25, 1,313.96 and 328.08 is: 491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.25 : 1,313.96 = 328.08 : x
  2. Step 2: Convert to fraction form
    876.25/1,313.96 = 328.08/x
  3. Step 3: Cross multiply
    876.25x = 1,313.96 × 328.08
  4. Step 4: Simplify right side
    876.25x = 431,087.28
  5. Step 5: Solve for x
    x = 431,087.28/876.25
  6. Step 6: Final answer
    x = 491.97

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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.