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Finding the Fourth Proportional to 838.71, 1,258.02 and 325.71

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Solution

The fourth proportional to 838.71, 1,258.02 and 325.71 is: 488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.71 : 1,258.02 = 325.71 : x
  2. Step 2: Convert to fraction form
    838.71/1,258.02 = 325.71/x
  3. Step 3: Cross multiply
    838.71x = 1,258.02 × 325.71
  4. Step 4: Simplify right side
    838.71x = 409,749.69
  5. Step 5: Solve for x
    x = 409,749.69/838.71
  6. Step 6: Final answer
    x = 488.55

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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.