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Finding the Fourth Proportional to 717.52, 1,075.32 and 284.56

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Solution

The fourth proportional to 717.52, 1,075.32 and 284.56 is: 426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.52 : 1,075.32 = 284.56 : x
  2. Step 2: Convert to fraction form
    717.52/1,075.32 = 284.56/x
  3. Step 3: Cross multiply
    717.52x = 1,075.32 × 284.56
  4. Step 4: Simplify right side
    717.52x = 305,993.06
  5. Step 5: Solve for x
    x = 305,993.06/717.52
  6. Step 6: Final answer
    x = 426.46

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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.