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Finding the Fourth Proportional to 1,424.28, 1,965.60 and 834.96

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Solution

The fourth proportional to 1,424.28, 1,965.60 and 834.96 is: 1,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.28 : 1,965.60 = 834.96 : x
  2. Step 2: Convert to fraction form
    1,424.28/1,965.60 = 834.96/x
  3. Step 3: Cross multiply
    1,424.28x = 1,965.60 × 834.96
  4. Step 4: Simplify right side
    1,424.28x = 1,641,197.38
  5. Step 5: Solve for x
    x = 1,641,197.38/1,424.28
  6. Step 6: Final answer
    x = 1,152.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.