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Finding the Fourth Proportional to 826.86, 1,239.57 and 313.74

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Solution

The fourth proportional to 826.86, 1,239.57 and 313.74 is: 470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.86 : 1,239.57 = 313.74 : x
  2. Step 2: Convert to fraction form
    826.86/1,239.57 = 313.74/x
  3. Step 3: Cross multiply
    826.86x = 1,239.57 × 313.74
  4. Step 4: Simplify right side
    826.86x = 388,902.69
  5. Step 5: Solve for x
    x = 388,902.69/826.86
  6. Step 6: Final answer
    x = 470.34

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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.