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Finding the Fourth Proportional to 523.68, 784.44 and 420.40

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Solution

The fourth proportional to 523.68, 784.44 and 420.40 is: 629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 784.44 = 420.40 : x
  2. Step 2: Convert to fraction form
    523.68/784.44 = 420.40/x
  3. Step 3: Cross multiply
    523.68x = 784.44 × 420.40
  4. Step 4: Simplify right side
    523.68x = 329,778.58
  5. Step 5: Solve for x
    x = 329,778.58/523.68
  6. Step 6: Final answer
    x = 629.73

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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.