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Finding the Fourth Proportional to 781.24, 1,172.37 and 416.29

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Solution

The fourth proportional to 781.24, 1,172.37 and 416.29 is: 624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.24 : 1,172.37 = 416.29 : x
  2. Step 2: Convert to fraction form
    781.24/1,172.37 = 416.29/x
  3. Step 3: Cross multiply
    781.24x = 1,172.37 × 416.29
  4. Step 4: Simplify right side
    781.24x = 488,045.91
  5. Step 5: Solve for x
    x = 488,045.91/781.24
  6. Step 6: Final answer
    x = 624.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.