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Finding the Fourth Proportional to 827.36, 1,141.02 and 687.68

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Solution

The fourth proportional to 827.36, 1,141.02 and 687.68 is: 948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.36 : 1,141.02 = 687.68 : x
  2. Step 2: Convert to fraction form
    827.36/1,141.02 = 687.68/x
  3. Step 3: Cross multiply
    827.36x = 1,141.02 × 687.68
  4. Step 4: Simplify right side
    827.36x = 784,656.63
  5. Step 5: Solve for x
    x = 784,656.63/827.36
  6. Step 6: Final answer
    x = 948.39

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.