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Finding the Fourth Proportional to 509.87, 703.50 and 323.03

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Solution

The fourth proportional to 509.87, 703.50 and 323.03 is: 445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.87 : 703.50 = 323.03 : x
  2. Step 2: Convert to fraction form
    509.87/703.50 = 323.03/x
  3. Step 3: Cross multiply
    509.87x = 703.50 × 323.03
  4. Step 4: Simplify right side
    509.87x = 227,251.61
  5. Step 5: Solve for x
    x = 227,251.61/509.87
  6. Step 6: Final answer
    x = 445.70

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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.