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Finding the Fourth Proportional to 717.25, 1,075.83 and 255.02

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Solution

The fourth proportional to 717.25, 1,075.83 and 255.02 is: 382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.25 : 1,075.83 = 255.02 : x
  2. Step 2: Convert to fraction form
    717.25/1,075.83 = 255.02/x
  3. Step 3: Cross multiply
    717.25x = 1,075.83 × 255.02
  4. Step 4: Simplify right side
    717.25x = 274,358.17
  5. Step 5: Solve for x
    x = 274,358.17/717.25
  6. Step 6: Final answer
    x = 382.51

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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.