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Finding the Fourth Proportional to 826.56, 1,148.13 and 813.33

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Solution

The fourth proportional to 826.56, 1,148.13 and 813.33 is: 1,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.56 : 1,148.13 = 813.33 : x
  2. Step 2: Convert to fraction form
    826.56/1,148.13 = 813.33/x
  3. Step 3: Cross multiply
    826.56x = 1,148.13 × 813.33
  4. Step 4: Simplify right side
    826.56x = 933,808.57
  5. Step 5: Solve for x
    x = 933,808.57/826.56
  6. Step 6: Final answer
    x = 1,129.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.