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Finding the Fourth Proportional to 522.48, 782.70 and 408.24

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Solution

The fourth proportional to 522.48, 782.70 and 408.24 is: 611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.48 : 782.70 = 408.24 : x
  2. Step 2: Convert to fraction form
    522.48/782.70 = 408.24/x
  3. Step 3: Cross multiply
    522.48x = 782.70 × 408.24
  4. Step 4: Simplify right side
    522.48x = 319,529.45
  5. Step 5: Solve for x
    x = 319,529.45/522.48
  6. Step 6: Final answer
    x = 611.56

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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.