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Finding the Fourth Proportional to 610.54, 914.19 and 494.18

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Solution

The fourth proportional to 610.54, 914.19 and 494.18 is: 739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.54 : 914.19 = 494.18 : x
  2. Step 2: Convert to fraction form
    610.54/914.19 = 494.18/x
  3. Step 3: Cross multiply
    610.54x = 914.19 × 494.18
  4. Step 4: Simplify right side
    610.54x = 451,774.41
  5. Step 5: Solve for x
    x = 451,774.41/610.54
  6. Step 6: Final answer
    x = 739.96

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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.