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Finding the Fourth Proportional to 519.45, 778.35 and 416.19

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Solution

The fourth proportional to 519.45, 778.35 and 416.19 is: 623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.45 : 778.35 = 416.19 : x
  2. Step 2: Convert to fraction form
    519.45/778.35 = 416.19/x
  3. Step 3: Cross multiply
    519.45x = 778.35 × 416.19
  4. Step 4: Simplify right side
    519.45x = 323,941.49
  5. Step 5: Solve for x
    x = 323,941.49/519.45
  6. Step 6: Final answer
    x = 623.62

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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.