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Finding the Fourth Proportional to 609.89, 914.56 and 378.77

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Solution

The fourth proportional to 609.89, 914.56 and 378.77 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.89 : 914.56 = 378.77 : x
  2. Step 2: Convert to fraction form
    609.89/914.56 = 378.77/x
  3. Step 3: Cross multiply
    609.89x = 914.56 × 378.77
  4. Step 4: Simplify right side
    609.89x = 346,402.37
  5. Step 5: Solve for x
    x = 346,402.37/609.89
  6. Step 6: Final answer
    x = 567.98

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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.