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Finding the Fourth Proportional to 827.63, 1,240.82 and 279.66

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Solution

The fourth proportional to 827.63, 1,240.82 and 279.66 is: 419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.63 : 1,240.82 = 279.66 : x
  2. Step 2: Convert to fraction form
    827.63/1,240.82 = 279.66/x
  3. Step 3: Cross multiply
    827.63x = 1,240.82 × 279.66
  4. Step 4: Simplify right side
    827.63x = 347,012.02
  5. Step 5: Solve for x
    x = 347,012.02/827.63
  6. Step 6: Final answer
    x = 419.28

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Double scale
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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.