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Finding the Fourth Proportional to 523.04, 782.82 and 349.29

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Solution

The fourth proportional to 523.04, 782.82 and 349.29 is: 522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 782.82 = 349.29 : x
  2. Step 2: Convert to fraction form
    523.04/782.82 = 349.29/x
  3. Step 3: Cross multiply
    523.04x = 782.82 × 349.29
  4. Step 4: Simplify right side
    523.04x = 273,431.20
  5. Step 5: Solve for x
    x = 273,431.20/523.04
  6. Step 6: Final answer
    x = 522.77

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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.