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Finding the Fourth Proportional to 826.83, 1,239.93 and 306.70

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Solution

The fourth proportional to 826.83, 1,239.93 and 306.70 is: 459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.83 : 1,239.93 = 306.70 : x
  2. Step 2: Convert to fraction form
    826.83/1,239.93 = 306.70/x
  3. Step 3: Cross multiply
    826.83x = 1,239.93 × 306.70
  4. Step 4: Simplify right side
    826.83x = 380,286.53
  5. Step 5: Solve for x
    x = 380,286.53/826.83
  6. Step 6: Final answer
    x = 459.93

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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.