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Finding the Fourth Proportional to 826.48, 1,228.50 and 804.32

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Solution

The fourth proportional to 826.48, 1,228.50 and 804.32 is: 1,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.48 : 1,228.50 = 804.32 : x
  2. Step 2: Convert to fraction form
    826.48/1,228.50 = 804.32/x
  3. Step 3: Cross multiply
    826.48x = 1,228.50 × 804.32
  4. Step 4: Simplify right side
    826.48x = 988,107.12
  5. Step 5: Solve for x
    x = 988,107.12/826.48
  6. Step 6: Final answer
    x = 1,195.56

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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.