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Finding the Fourth Proportional to 509.76, 703.29 and 323.19

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Solution

The fourth proportional to 509.76, 703.29 and 323.19 is: 445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.76 : 703.29 = 323.19 : x
  2. Step 2: Convert to fraction form
    509.76/703.29 = 323.19/x
  3. Step 3: Cross multiply
    509.76x = 703.29 × 323.19
  4. Step 4: Simplify right side
    509.76x = 227,296.30
  5. Step 5: Solve for x
    x = 227,296.30/509.76
  6. Step 6: Final answer
    x = 445.89

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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.