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Finding the Fourth Proportional to 754.83, 1,132.37 and 268.02

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Solution

The fourth proportional to 754.83, 1,132.37 and 268.02 is: 402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.83 : 1,132.37 = 268.02 : x
  2. Step 2: Convert to fraction form
    754.83/1,132.37 = 268.02/x
  3. Step 3: Cross multiply
    754.83x = 1,132.37 × 268.02
  4. Step 4: Simplify right side
    754.83x = 303,497.81
  5. Step 5: Solve for x
    x = 303,497.81/754.83
  6. Step 6: Final answer
    x = 402.07

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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.