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Finding the Fourth Proportional to 826.13, 1,231.55 and 813.48

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Solution

The fourth proportional to 826.13, 1,231.55 and 813.48 is: 1,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.13 : 1,231.55 = 813.48 : x
  2. Step 2: Convert to fraction form
    826.13/1,231.55 = 813.48/x
  3. Step 3: Cross multiply
    826.13x = 1,231.55 × 813.48
  4. Step 4: Simplify right side
    826.13x = 1,001,837.23
  5. Step 5: Solve for x
    x = 1,001,837.23/826.13
  6. Step 6: Final answer
    x = 1,212.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.