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Finding the Fourth Proportional to 840.09, 1,259.96 and 262.83

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Solution

The fourth proportional to 840.09, 1,259.96 and 262.83 is: 394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.09 : 1,259.96 = 262.83 : x
  2. Step 2: Convert to fraction form
    840.09/1,259.96 = 262.83/x
  3. Step 3: Cross multiply
    840.09x = 1,259.96 × 262.83
  4. Step 4: Simplify right side
    840.09x = 331,153.97
  5. Step 5: Solve for x
    x = 331,153.97/840.09
  6. Step 6: Final answer
    x = 394.19

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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.