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Finding the Fourth Proportional to 826.75, 1,141.13 and 477.64

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Solution

The fourth proportional to 826.75, 1,141.13 and 477.64 is: 659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.75 : 1,141.13 = 477.64 : x
  2. Step 2: Convert to fraction form
    826.75/1,141.13 = 477.64/x
  3. Step 3: Cross multiply
    826.75x = 1,141.13 × 477.64
  4. Step 4: Simplify right side
    826.75x = 545,049.33
  5. Step 5: Solve for x
    x = 545,049.33/826.75
  6. Step 6: Final answer
    x = 659.27

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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.