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Finding the Fourth Proportional to 610.94, 914.34 and 415.46

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Solution

The fourth proportional to 610.94, 914.34 and 415.46 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.94 : 914.34 = 415.46 : x
  2. Step 2: Convert to fraction form
    610.94/914.34 = 415.46/x
  3. Step 3: Cross multiply
    610.94x = 914.34 × 415.46
  4. Step 4: Simplify right side
    610.94x = 379,871.70
  5. Step 5: Solve for x
    x = 379,871.70/610.94
  6. Step 6: Final answer
    x = 621.78

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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.