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Finding the Fourth Proportional to 1,193.95, 1,648.21 and 796.28

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Solution

The fourth proportional to 1,193.95, 1,648.21 and 796.28 is: 1,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.95 : 1,648.21 = 796.28 : x
  2. Step 2: Convert to fraction form
    1,193.95/1,648.21 = 796.28/x
  3. Step 3: Cross multiply
    1,193.95x = 1,648.21 × 796.28
  4. Step 4: Simplify right side
    1,193.95x = 1,312,426.43
  5. Step 5: Solve for x
    x = 1,312,426.43/1,193.95
  6. Step 6: Final answer
    x = 1,099.23

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Half scale
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Double scale
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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.