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Finding the Fourth Proportional to 427.31, 639.71 and 325.00

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Solution

The fourth proportional to 427.31, 639.71 and 325.00 is: 486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.31 : 639.71 = 325.00 : x
  2. Step 2: Convert to fraction form
    427.31/639.71 = 325.00/x
  3. Step 3: Cross multiply
    427.31x = 639.71 × 325.00
  4. Step 4: Simplify right side
    427.31x = 207,900.93
  5. Step 5: Solve for x
    x = 207,900.93/427.31
  6. Step 6: Final answer
    x = 486.54

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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.