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Finding the Fourth Proportional to 521.43, 719.42 and 365.91

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Solution

The fourth proportional to 521.43, 719.42 and 365.91 is: 504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.43 : 719.42 = 365.91 : x
  2. Step 2: Convert to fraction form
    521.43/719.42 = 365.91/x
  3. Step 3: Cross multiply
    521.43x = 719.42 × 365.91
  4. Step 4: Simplify right side
    521.43x = 263,241.14
  5. Step 5: Solve for x
    x = 263,241.14/521.43
  6. Step 6: Final answer
    x = 504.84

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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.