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Finding the Fourth Proportional to 961.74, 1,441.26 and 717.66

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Solution

The fourth proportional to 961.74, 1,441.26 and 717.66 is: 1,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.74 : 1,441.26 = 717.66 : x
  2. Step 2: Convert to fraction form
    961.74/1,441.26 = 717.66/x
  3. Step 3: Cross multiply
    961.74x = 1,441.26 × 717.66
  4. Step 4: Simplify right side
    961.74x = 1,034,334.65
  5. Step 5: Solve for x
    x = 1,034,334.65/961.74
  6. Step 6: Final answer
    x = 1,075.48

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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.