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Finding the Fourth Proportional to 500.19, 690.57 and 323.31

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Solution

The fourth proportional to 500.19, 690.57 and 323.31 is: 446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.19 : 690.57 = 323.31 : x
  2. Step 2: Convert to fraction form
    500.19/690.57 = 323.31/x
  3. Step 3: Cross multiply
    500.19x = 690.57 × 323.31
  4. Step 4: Simplify right side
    500.19x = 223,268.19
  5. Step 5: Solve for x
    x = 223,268.19/500.19
  6. Step 6: Final answer
    x = 446.37

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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.