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Finding the Fourth Proportional to 523.41, 784.30 and 330.63

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Solution

The fourth proportional to 523.41, 784.30 and 330.63 is: 495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.41 : 784.30 = 330.63 : x
  2. Step 2: Convert to fraction form
    523.41/784.30 = 330.63/x
  3. Step 3: Cross multiply
    523.41x = 784.30 × 330.63
  4. Step 4: Simplify right side
    523.41x = 259,313.11
  5. Step 5: Solve for x
    x = 259,313.11/523.41
  6. Step 6: Final answer
    x = 495.43

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Double scale
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1.5x scale

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.