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Finding the Fourth Proportional to 456.79, 631.21 and 325.57

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Solution

The fourth proportional to 456.79, 631.21 and 325.57 is: 449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.79 : 631.21 = 325.57 : x
  2. Step 2: Convert to fraction form
    456.79/631.21 = 325.57/x
  3. Step 3: Cross multiply
    456.79x = 631.21 × 325.57
  4. Step 4: Simplify right side
    456.79x = 205,501.41
  5. Step 5: Solve for x
    x = 205,501.41/456.79
  6. Step 6: Final answer
    x = 449.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.