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Finding the Fourth Proportional to 827.24, 1,240.90 and 566.62

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Solution

The fourth proportional to 827.24, 1,240.90 and 566.62 is: 849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.24 : 1,240.90 = 566.62 : x
  2. Step 2: Convert to fraction form
    827.24/1,240.90 = 566.62/x
  3. Step 3: Cross multiply
    827.24x = 1,240.90 × 566.62
  4. Step 4: Simplify right side
    827.24x = 703,118.76
  5. Step 5: Solve for x
    x = 703,118.76/827.24
  6. Step 6: Final answer
    x = 849.96

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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.