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Finding the Fourth Proportional to 910.71, 1,365.39 and 325.35

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Solution

The fourth proportional to 910.71, 1,365.39 and 325.35 is: 487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.71 : 1,365.39 = 325.35 : x
  2. Step 2: Convert to fraction form
    910.71/1,365.39 = 325.35/x
  3. Step 3: Cross multiply
    910.71x = 1,365.39 × 325.35
  4. Step 4: Simplify right side
    910.71x = 444,229.64
  5. Step 5: Solve for x
    x = 444,229.64/910.71
  6. Step 6: Final answer
    x = 487.78

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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.