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Finding the Fourth Proportional to 782.06, 1,173.42 and 416.41

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Solution

The fourth proportional to 782.06, 1,173.42 and 416.41 is: 624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.06 : 1,173.42 = 416.41 : x
  2. Step 2: Convert to fraction form
    782.06/1,173.42 = 416.41/x
  3. Step 3: Cross multiply
    782.06x = 1,173.42 × 416.41
  4. Step 4: Simplify right side
    782.06x = 488,620.89
  5. Step 5: Solve for x
    x = 488,620.89/782.06
  6. Step 6: Final answer
    x = 624.79

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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.