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Finding the Fourth Proportional to 523.90, 785.44 and 318.42

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Solution

The fourth proportional to 523.90, 785.44 and 318.42 is: 477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.90 : 785.44 = 318.42 : x
  2. Step 2: Convert to fraction form
    523.90/785.44 = 318.42/x
  3. Step 3: Cross multiply
    523.90x = 785.44 × 318.42
  4. Step 4: Simplify right side
    523.90x = 250,099.80
  5. Step 5: Solve for x
    x = 250,099.80/523.90
  6. Step 6: Final answer
    x = 477.38

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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.