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Finding the Fourth Proportional to 605.63, 906.75 and 518.15

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Solution

The fourth proportional to 605.63, 906.75 and 518.15 is: 775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.63 : 906.75 = 518.15 : x
  2. Step 2: Convert to fraction form
    605.63/906.75 = 518.15/x
  3. Step 3: Cross multiply
    605.63x = 906.75 × 518.15
  4. Step 4: Simplify right side
    605.63x = 469,827.98
  5. Step 5: Solve for x
    x = 469,827.98/605.63
  6. Step 6: Final answer
    x = 775.77

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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.