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Finding the Fourth Proportional to 523.21, 784.41 and 303.50

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Solution

The fourth proportional to 523.21, 784.41 and 303.50 is: 455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.21 : 784.41 = 303.50 : x
  2. Step 2: Convert to fraction form
    523.21/784.41 = 303.50/x
  3. Step 3: Cross multiply
    523.21x = 784.41 × 303.50
  4. Step 4: Simplify right side
    523.21x = 238,063.00
  5. Step 5: Solve for x
    x = 238,063.00/523.21
  6. Step 6: Final answer
    x = 455.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.