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Finding the Fourth Proportional to 826.07, 1,238.39 and 474.60

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Solution

The fourth proportional to 826.07, 1,238.39 and 474.60 is: 711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.07 : 1,238.39 = 474.60 : x
  2. Step 2: Convert to fraction form
    826.07/1,238.39 = 474.60/x
  3. Step 3: Cross multiply
    826.07x = 1,238.39 × 474.60
  4. Step 4: Simplify right side
    826.07x = 587,739.89
  5. Step 5: Solve for x
    x = 587,739.89/826.07
  6. Step 6: Final answer
    x = 711.49

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Half scale
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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.