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Finding the Fourth Proportional to 826.61, 1,236.68 and 595.94

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Solution

The fourth proportional to 826.61, 1,236.68 and 595.94 is: 891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.61 : 1,236.68 = 595.94 : x
  2. Step 2: Convert to fraction form
    826.61/1,236.68 = 595.94/x
  3. Step 3: Cross multiply
    826.61x = 1,236.68 × 595.94
  4. Step 4: Simplify right side
    826.61x = 736,984.10
  5. Step 5: Solve for x
    x = 736,984.10/826.61
  6. Step 6: Final answer
    x = 891.57

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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.