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Finding the Fourth Proportional to 827.45, 1,240.21 and 673.65

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Solution

The fourth proportional to 827.45, 1,240.21 and 673.65 is: 1,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.45 : 1,240.21 = 673.65 : x
  2. Step 2: Convert to fraction form
    827.45/1,240.21 = 673.65/x
  3. Step 3: Cross multiply
    827.45x = 1,240.21 × 673.65
  4. Step 4: Simplify right side
    827.45x = 835,468.31
  5. Step 5: Solve for x
    x = 835,468.31/827.45
  6. Step 6: Final answer
    x = 1,009.69

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1.5x scale

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.