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Finding the Fourth Proportional to 839.53, 1,259.47 and 254.57

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Solution

The fourth proportional to 839.53, 1,259.47 and 254.57 is: 381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.53 : 1,259.47 = 254.57 : x
  2. Step 2: Convert to fraction form
    839.53/1,259.47 = 254.57/x
  3. Step 3: Cross multiply
    839.53x = 1,259.47 × 254.57
  4. Step 4: Simplify right side
    839.53x = 320,622.01
  5. Step 5: Solve for x
    x = 320,622.01/839.53
  6. Step 6: Final answer
    x = 381.91

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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.