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Finding the Fourth Proportional to 501.05, 690.82 and 323.71

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Solution

The fourth proportional to 501.05, 690.82 and 323.71 is: 446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.05 : 690.82 = 323.71 : x
  2. Step 2: Convert to fraction form
    501.05/690.82 = 323.71/x
  3. Step 3: Cross multiply
    501.05x = 690.82 × 323.71
  4. Step 4: Simplify right side
    501.05x = 223,624.14
  5. Step 5: Solve for x
    x = 223,624.14/501.05
  6. Step 6: Final answer
    x = 446.31

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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.