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Finding the Fourth Proportional to 504.90, 756.27 and 408.78

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Solution

The fourth proportional to 504.90, 756.27 and 408.78 is: 612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.90 : 756.27 = 408.78 : x
  2. Step 2: Convert to fraction form
    504.90/756.27 = 408.78/x
  3. Step 3: Cross multiply
    504.90x = 756.27 × 408.78
  4. Step 4: Simplify right side
    504.90x = 309,148.05
  5. Step 5: Solve for x
    x = 309,148.05/504.90
  6. Step 6: Final answer
    x = 612.30

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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.