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Finding the Fourth Proportional to 826.48, 1,239.71 and 333.02

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Solution

The fourth proportional to 826.48, 1,239.71 and 333.02 is: 499.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.48 : 1,239.71 = 333.02 : x
  2. Step 2: Convert to fraction form
    826.48/1,239.71 = 333.02/x
  3. Step 3: Cross multiply
    826.48x = 1,239.71 × 333.02
  4. Step 4: Simplify right side
    826.48x = 412,840.36
  5. Step 5: Solve for x
    x = 412,840.36/826.48
  6. Step 6: Final answer
    x = 499.52

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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.