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Finding the Fourth Proportional to 523.53, 782.60 and 406.62

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Solution

The fourth proportional to 523.53, 782.60 and 406.62 is: 607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.53 : 782.60 = 406.62 : x
  2. Step 2: Convert to fraction form
    523.53/782.60 = 406.62/x
  3. Step 3: Cross multiply
    523.53x = 782.60 × 406.62
  4. Step 4: Simplify right side
    523.53x = 318,218.78
  5. Step 5: Solve for x
    x = 318,218.78/523.53
  6. Step 6: Final answer
    x = 607.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.