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Finding the Fourth Proportional to 521.50, 719.48 and 324.68

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Solution

The fourth proportional to 521.50, 719.48 and 324.68 is: 447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.50 : 719.48 = 324.68 : x
  2. Step 2: Convert to fraction form
    521.50/719.48 = 324.68/x
  3. Step 3: Cross multiply
    521.50x = 719.48 × 324.68
  4. Step 4: Simplify right side
    521.50x = 233,600.77
  5. Step 5: Solve for x
    x = 233,600.77/521.50
  6. Step 6: Final answer
    x = 447.94

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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.