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Finding the Fourth Proportional to 823.90, 1,236.21 and 433.81

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Solution

The fourth proportional to 823.90, 1,236.21 and 433.81 is: 650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.90 : 1,236.21 = 433.81 : x
  2. Step 2: Convert to fraction form
    823.90/1,236.21 = 433.81/x
  3. Step 3: Cross multiply
    823.90x = 1,236.21 × 433.81
  4. Step 4: Simplify right side
    823.90x = 536,280.26
  5. Step 5: Solve for x
    x = 536,280.26/823.90
  6. Step 6: Final answer
    x = 650.90

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Double scale
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1.5x scale

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.