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Finding the Fourth Proportional to 609.66, 917.87 and 418.54

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Solution

The fourth proportional to 609.66, 917.87 and 418.54 is: 630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.66 : 917.87 = 418.54 : x
  2. Step 2: Convert to fraction form
    609.66/917.87 = 418.54/x
  3. Step 3: Cross multiply
    609.66x = 917.87 × 418.54
  4. Step 4: Simplify right side
    609.66x = 384,163.22
  5. Step 5: Solve for x
    x = 384,163.22/609.66
  6. Step 6: Final answer
    x = 630.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.