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Finding the Fourth Proportional to 518.55, 775.98 and 416.49

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Solution

The fourth proportional to 518.55, 775.98 and 416.49 is: 623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.55 : 775.98 = 416.49 : x
  2. Step 2: Convert to fraction form
    518.55/775.98 = 416.49/x
  3. Step 3: Cross multiply
    518.55x = 775.98 × 416.49
  4. Step 4: Simplify right side
    518.55x = 323,187.91
  5. Step 5: Solve for x
    x = 323,187.91/518.55
  6. Step 6: Final answer
    x = 623.25

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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.