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Finding the Fourth Proportional to 521.72, 719.21 and 374.09

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Solution

The fourth proportional to 521.72, 719.21 and 374.09 is: 515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.72 : 719.21 = 374.09 : x
  2. Step 2: Convert to fraction form
    521.72/719.21 = 374.09/x
  3. Step 3: Cross multiply
    521.72x = 719.21 × 374.09
  4. Step 4: Simplify right side
    521.72x = 269,043.80
  5. Step 5: Solve for x
    x = 269,043.80/521.72
  6. Step 6: Final answer
    x = 515.69

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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.