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Finding the Fourth Proportional to 781.92, 1,173.02 and 234.14

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Solution

The fourth proportional to 781.92, 1,173.02 and 234.14 is: 351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.92 : 1,173.02 = 234.14 : x
  2. Step 2: Convert to fraction form
    781.92/1,173.02 = 234.14/x
  3. Step 3: Cross multiply
    781.92x = 1,173.02 × 234.14
  4. Step 4: Simplify right side
    781.92x = 274,643.87
  5. Step 5: Solve for x
    x = 274,643.87/781.92
  6. Step 6: Final answer
    x = 351.24

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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.