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Finding the Fourth Proportional to 826.63, 1,239.09 and 340.03

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Solution

The fourth proportional to 826.63, 1,239.09 and 340.03 is: 509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.63 : 1,239.09 = 340.03 : x
  2. Step 2: Convert to fraction form
    826.63/1,239.09 = 340.03/x
  3. Step 3: Cross multiply
    826.63x = 1,239.09 × 340.03
  4. Step 4: Simplify right side
    826.63x = 421,327.77
  5. Step 5: Solve for x
    x = 421,327.77/826.63
  6. Step 6: Final answer
    x = 509.69

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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.