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Finding the Fourth Proportional to 609.80, 913.95 and 378.72

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Solution

The fourth proportional to 609.80, 913.95 and 378.72 is: 567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.80 : 913.95 = 378.72 : x
  2. Step 2: Convert to fraction form
    609.80/913.95 = 378.72/x
  3. Step 3: Cross multiply
    609.80x = 913.95 × 378.72
  4. Step 4: Simplify right side
    609.80x = 346,131.14
  5. Step 5: Solve for x
    x = 346,131.14/609.80
  6. Step 6: Final answer
    x = 567.62

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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.