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Finding the Fourth Proportional to 717, 1,075.42 and 254.76

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Solution

The fourth proportional to 717, 1,075.42 and 254.76 is: 382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    717 : 1,075.42 = 254.76 : x
  2. Step 2: Convert to fraction form
    717/1,075.42 = 254.76/x
  3. Step 3: Cross multiply
    717x = 1,075.42 × 254.76
  4. Step 4: Simplify right side
    717x = 273,974.00
  5. Step 5: Solve for x
    x = 273,974.00/717
  6. Step 6: Final answer
    x = 382.11

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Why These Related Problems?

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