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Finding the Fourth Proportional to 522.36, 782.10 and 349.29

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Solution

The fourth proportional to 522.36, 782.10 and 349.29 is: 522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.36 : 782.10 = 349.29 : x
  2. Step 2: Convert to fraction form
    522.36/782.10 = 349.29/x
  3. Step 3: Cross multiply
    522.36x = 782.10 × 349.29
  4. Step 4: Simplify right side
    522.36x = 273,179.71
  5. Step 5: Solve for x
    x = 273,179.71/522.36
  6. Step 6: Final answer
    x = 522.97

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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.