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Finding the Fourth Proportional to 826.16, 1,238.42 and 533.61

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Solution

The fourth proportional to 826.16, 1,238.42 and 533.61 is: 799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.16 : 1,238.42 = 533.61 : x
  2. Step 2: Convert to fraction form
    826.16/1,238.42 = 533.61/x
  3. Step 3: Cross multiply
    826.16x = 1,238.42 × 533.61
  4. Step 4: Simplify right side
    826.16x = 660,834.63
  5. Step 5: Solve for x
    x = 660,834.63/826.16
  6. Step 6: Final answer
    x = 799.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.