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Finding the Fourth Proportional to 826.84, 1,240.24 and 210.55

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Solution

The fourth proportional to 826.84, 1,240.24 and 210.55 is: 315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.84 : 1,240.24 = 210.55 : x
  2. Step 2: Convert to fraction form
    826.84/1,240.24 = 210.55/x
  3. Step 3: Cross multiply
    826.84x = 1,240.24 × 210.55
  4. Step 4: Simplify right side
    826.84x = 261,131.77
  5. Step 5: Solve for x
    x = 261,131.77/826.84
  6. Step 6: Final answer
    x = 315.82

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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.