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Finding the Fourth Proportional to 610.89, 914.16 and 379.59

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Solution

The fourth proportional to 610.89, 914.16 and 379.59 is: 568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.89 : 914.16 = 379.59 : x
  2. Step 2: Convert to fraction form
    610.89/914.16 = 379.59/x
  3. Step 3: Cross multiply
    610.89x = 914.16 × 379.59
  4. Step 4: Simplify right side
    610.89x = 347,005.99
  5. Step 5: Solve for x
    x = 347,005.99/610.89
  6. Step 6: Final answer
    x = 568.03

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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.