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Finding the Fourth Proportional to 826.66, 1,239.21 and 306.53

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Solution

The fourth proportional to 826.66, 1,239.21 and 306.53 is: 459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.66 : 1,239.21 = 306.53 : x
  2. Step 2: Convert to fraction form
    826.66/1,239.21 = 306.53/x
  3. Step 3: Cross multiply
    826.66x = 1,239.21 × 306.53
  4. Step 4: Simplify right side
    826.66x = 379,849.14
  5. Step 5: Solve for x
    x = 379,849.14/826.66
  6. Step 6: Final answer
    x = 459.50

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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.