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Finding the Fourth Proportional to 826.18, 1,237.41 and 591.48

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Solution

The fourth proportional to 826.18, 1,237.41 and 591.48 is: 885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.18 : 1,237.41 = 591.48 : x
  2. Step 2: Convert to fraction form
    826.18/1,237.41 = 591.48/x
  3. Step 3: Cross multiply
    826.18x = 1,237.41 × 591.48
  4. Step 4: Simplify right side
    826.18x = 731,903.27
  5. Step 5: Solve for x
    x = 731,903.27/826.18
  6. Step 6: Final answer
    x = 885.89

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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.