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Finding the Fourth Proportional to 826.94, 1,241.02 and 632.50

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Solution

The fourth proportional to 826.94, 1,241.02 and 632.50 is: 949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.94 : 1,241.02 = 632.50 : x
  2. Step 2: Convert to fraction form
    826.94/1,241.02 = 632.50/x
  3. Step 3: Cross multiply
    826.94x = 1,241.02 × 632.50
  4. Step 4: Simplify right side
    826.94x = 784,946.26
  5. Step 5: Solve for x
    x = 784,946.26/826.94
  6. Step 6: Final answer
    x = 949.22

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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.