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Finding the Fourth Proportional to 835.30, 1,144.33 and 804.14

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Solution

The fourth proportional to 835.30, 1,144.33 and 804.14 is: 1,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.30 : 1,144.33 = 804.14 : x
  2. Step 2: Convert to fraction form
    835.30/1,144.33 = 804.14/x
  3. Step 3: Cross multiply
    835.30x = 1,144.33 × 804.14
  4. Step 4: Simplify right side
    835.30x = 920,201.53
  5. Step 5: Solve for x
    x = 920,201.53/835.30
  6. Step 6: Final answer
    x = 1,101.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.